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Finding the Fourth Proportional to 138,932.52, 208,398.75 and 33,750.78

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Solution

The fourth proportional to 138,932.52, 208,398.75 and 33,750.78 is: 50,626.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,932.52 : 208,398.75 = 33,750.78 : x
  2. Step 2: Convert to fraction form
    138,932.52/208,398.75 = 33,750.78/x
  3. Step 3: Cross multiply
    138,932.52x = 208,398.75 × 33,750.78
  4. Step 4: Simplify right side
    138,932.52x = 7,033,620,363.53
  5. Step 5: Solve for x
    x = 7,033,620,363.53/138,932.52
  6. Step 6: Final answer
    x = 50,626.16

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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.