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Finding the Fourth Proportional to 138,565.96, 208,086.44 and 85,571.44

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Solution

The fourth proportional to 138,565.96, 208,086.44 and 85,571.44 is: 128,503.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,565.96 : 208,086.44 = 85,571.44 : x
  2. Step 2: Convert to fraction form
    138,565.96/208,086.44 = 85,571.44/x
  3. Step 3: Cross multiply
    138,565.96x = 208,086.44 × 85,571.44
  4. Step 4: Simplify right side
    138,565.96x = 17,806,255,367.20
  5. Step 5: Solve for x
    x = 17,806,255,367.20/138,565.96
  6. Step 6: Final answer
    x = 128,503.82

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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.