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Finding the Fourth Proportional to 123,781.61, 185,742.63 and 66,854.81

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Solution

The fourth proportional to 123,781.61, 185,742.63 and 66,854.81 is: 100,320.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,781.61 : 185,742.63 = 66,854.81 : x
  2. Step 2: Convert to fraction form
    123,781.61/185,742.63 = 66,854.81/x
  3. Step 3: Cross multiply
    123,781.61x = 185,742.63 × 66,854.81
  4. Step 4: Simplify right side
    123,781.61x = 12,417,787,308.84
  5. Step 5: Solve for x
    x = 12,417,787,308.84/123,781.61
  6. Step 6: Final answer
    x = 100,320.13

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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.