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Finding the Fourth Proportional to 120,073.97, 180,115.82 and 45,186.23

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Solution

The fourth proportional to 120,073.97, 180,115.82 and 45,186.23 is: 67,781.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,073.97 : 180,115.82 = 45,186.23 : x
  2. Step 2: Convert to fraction form
    120,073.97/180,115.82 = 45,186.23/x
  3. Step 3: Cross multiply
    120,073.97x = 180,115.82 × 45,186.23
  4. Step 4: Simplify right side
    120,073.97x = 8,138,754,869.16
  5. Step 5: Solve for x
    x = 8,138,754,869.16/120,073.97
  6. Step 6: Final answer
    x = 67,781.18

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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.