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Finding the Fourth Proportional to 120,145,200.45, 180,217,800.68 and 120,145,200.45

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Solution

The fourth proportional to 120,145,200.45, 180,217,800.68 and 120,145,200.45 is: 180,217,800.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,145,200.45 : 180,217,800.68 = 120,145,200.45 : x
  2. Step 2: Convert to fraction form
    120,145,200.45/180,217,800.68 = 120,145,200.45/x
  3. Step 3: Cross multiply
    120,145,200.45x = 180,217,800.68 × 120,145,200.45
  4. Step 4: Simplify right side
    120,145,200.45x = 21,652,303,786,756,024
  5. Step 5: Solve for x
    x = 21,652,303,786,756,024/120,145,200.45
  6. Step 6: Final answer
    x = 180,217,800.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.