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Finding the Fourth Proportional to 138,909.28, 208,364.14 and 33,728.24

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Solution

The fourth proportional to 138,909.28, 208,364.14 and 33,728.24 is: 50,592.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,909.28 : 208,364.14 = 33,728.24 : x
  2. Step 2: Convert to fraction form
    138,909.28/208,364.14 = 33,728.24/x
  3. Step 3: Cross multiply
    138,909.28x = 208,364.14 × 33,728.24
  4. Step 4: Simplify right side
    138,909.28x = 7,027,755,721.31
  5. Step 5: Solve for x
    x = 7,027,755,721.31/138,909.28
  6. Step 6: Final answer
    x = 50,592.42

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1.5x scale

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.