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Finding the Fourth Proportional to 120,193.88, 180,290.61 and 45,330.84

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Solution

The fourth proportional to 120,193.88, 180,290.61 and 45,330.84 is: 67,996.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,193.88 : 180,290.61 = 45,330.84 : x
  2. Step 2: Convert to fraction form
    120,193.88/180,290.61 = 45,330.84/x
  3. Step 3: Cross multiply
    120,193.88x = 180,290.61 × 45,330.84
  4. Step 4: Simplify right side
    120,193.88x = 8,172,724,795.41
  5. Step 5: Solve for x
    x = 8,172,724,795.41/120,193.88
  6. Step 6: Final answer
    x = 67,996.18

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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.