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Finding the Fourth Proportional to 222,240.38, 306,691.71 and 120,265.84

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Solution

The fourth proportional to 222,240.38, 306,691.71 and 120,265.84 is: 165,966.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,240.38 : 306,691.71 = 120,265.84 : x
  2. Step 2: Convert to fraction form
    222,240.38/306,691.71 = 120,265.84/x
  3. Step 3: Cross multiply
    222,240.38x = 306,691.71 × 120,265.84
  4. Step 4: Simplify right side
    222,240.38x = 36,884,535,658.12
  5. Step 5: Solve for x
    x = 36,884,535,658.12/222,240.38
  6. Step 6: Final answer
    x = 165,966.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.