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Finding the Fourth Proportional to 120,734.16, 181,101.10 and 45,854.17

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Solution

The fourth proportional to 120,734.16, 181,101.10 and 45,854.17 is: 68,781.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,734.16 : 181,101.10 = 45,854.17 : x
  2. Step 2: Convert to fraction form
    120,734.16/181,101.10 = 45,854.17/x
  3. Step 3: Cross multiply
    120,734.16x = 181,101.10 × 45,854.17
  4. Step 4: Simplify right side
    120,734.16x = 8,304,240,626.59
  5. Step 5: Solve for x
    x = 8,304,240,626.59/120,734.16
  6. Step 6: Final answer
    x = 68,781.20

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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.