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Finding the Fourth Proportional to 138,727, 208,125.06 and 40,231

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Solution

The fourth proportional to 138,727, 208,125.06 and 40,231 is: 60,356.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,727 : 208,125.06 = 40,231 : x
  2. Step 2: Convert to fraction form
    138,727/208,125.06 = 40,231/x
  3. Step 3: Cross multiply
    138,727x = 208,125.06 × 40,231
  4. Step 4: Simplify right side
    138,727x = 8,373,079,288.86
  5. Step 5: Solve for x
    x = 8,373,079,288.86/138,727
  6. Step 6: Final answer
    x = 60,356.52

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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.