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Finding the Fourth Proportional to 137,550.19, 206,384.67 and 74,414.78

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Solution

The fourth proportional to 137,550.19, 206,384.67 and 74,414.78 is: 111,654.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,550.19 : 206,384.67 = 74,414.78 : x
  2. Step 2: Convert to fraction form
    137,550.19/206,384.67 = 74,414.78/x
  3. Step 3: Cross multiply
    137,550.19x = 206,384.67 × 74,414.78
  4. Step 4: Simplify right side
    137,550.19x = 15,358,069,813.42
  5. Step 5: Solve for x
    x = 15,358,069,813.42/137,550.19
  6. Step 6: Final answer
    x = 111,654.30

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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.