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Finding the Fourth Proportional to 138,981.61, 208,470.87 and 33,800.68

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Solution

The fourth proportional to 138,981.61, 208,470.87 and 33,800.68 is: 50,700.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,981.61 : 208,470.87 = 33,800.68 : x
  2. Step 2: Convert to fraction form
    138,981.61/208,470.87 = 33,800.68/x
  3. Step 3: Cross multiply
    138,981.61x = 208,470.87 × 33,800.68
  4. Step 4: Simplify right side
    138,981.61x = 7,046,456,123.84
  5. Step 5: Solve for x
    x = 7,046,456,123.84/138,981.61
  6. Step 6: Final answer
    x = 50,700.64

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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.