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Finding the Fourth Proportional to 138,406.86, 207,479.07 and 44,847

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Solution

The fourth proportional to 138,406.86, 207,479.07 and 44,847 is: 67,227.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,406.86 : 207,479.07 = 44,847 : x
  2. Step 2: Convert to fraction form
    138,406.86/207,479.07 = 44,847/x
  3. Step 3: Cross multiply
    138,406.86x = 207,479.07 × 44,847
  4. Step 4: Simplify right side
    138,406.86x = 9,304,813,852.29
  5. Step 5: Solve for x
    x = 9,304,813,852.29/138,406.86
  6. Step 6: Final answer
    x = 67,227.98

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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.