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Finding the Fourth Proportional to 137,569.38, 206,311.50 and 66,447.84

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Solution

The fourth proportional to 137,569.38, 206,311.50 and 66,447.84 is: 99,651.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,569.38 : 206,311.50 = 66,447.84 : x
  2. Step 2: Convert to fraction form
    137,569.38/206,311.50 = 66,447.84/x
  3. Step 3: Cross multiply
    137,569.38x = 206,311.50 × 66,447.84
  4. Step 4: Simplify right side
    137,569.38x = 13,708,953,209.92
  5. Step 5: Solve for x
    x = 13,708,953,209.92/137,569.38
  6. Step 6: Final answer
    x = 99,651.20

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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.