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Finding the Fourth Proportional to 120,145,166.20, 180,217,749.30 and 120,145,166.20

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Solution

The fourth proportional to 120,145,166.20, 180,217,749.30 and 120,145,166.20 is: 180,217,749.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,145,166.20 : 180,217,749.30 = 120,145,166.20 : x
  2. Step 2: Convert to fraction form
    120,145,166.20/180,217,749.30 = 120,145,166.20/x
  3. Step 3: Cross multiply
    120,145,166.20x = 180,217,749.30 × 120,145,166.20
  4. Step 4: Simplify right side
    120,145,166.20x = 21,652,291,441,838,436
  5. Step 5: Solve for x
    x = 21,652,291,441,838,436/120,145,166.20
  6. Step 6: Final answer
    x = 180,217,749.30

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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.