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Finding the Fourth Proportional to 137,569.78, 189,833.11 and 77,142.97

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Solution

The fourth proportional to 137,569.78, 189,833.11 and 77,142.97 is: 106,449.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,569.78 : 189,833.11 = 77,142.97 : x
  2. Step 2: Convert to fraction form
    137,569.78/189,833.11 = 77,142.97/x
  3. Step 3: Cross multiply
    137,569.78x = 189,833.11 × 77,142.97
  4. Step 4: Simplify right side
    137,569.78x = 14,644,289,909.74
  5. Step 5: Solve for x
    x = 14,644,289,909.74/137,569.78
  6. Step 6: Final answer
    x = 106,449.90

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1.5x scale

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.