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Finding the Fourth Proportional to 138,981.66, 208,470.80 and 33,800.74

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Solution

The fourth proportional to 138,981.66, 208,470.80 and 33,800.74 is: 50,700.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,981.66 : 208,470.80 = 33,800.74 : x
  2. Step 2: Convert to fraction form
    138,981.66/208,470.80 = 33,800.74/x
  3. Step 3: Cross multiply
    138,981.66x = 208,470.80 × 33,800.74
  4. Step 4: Simplify right side
    138,981.66x = 7,046,467,308.39
  5. Step 5: Solve for x
    x = 7,046,467,308.39/138,981.66
  6. Step 6: Final answer
    x = 50,700.70

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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.