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Finding the Fourth Proportional to 207,179.87, 310,769.80 and 137,042.78

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Solution

The fourth proportional to 207,179.87, 310,769.80 and 137,042.78 is: 205,564.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,179.87 : 310,769.80 = 137,042.78 : x
  2. Step 2: Convert to fraction form
    207,179.87/310,769.80 = 137,042.78/x
  3. Step 3: Cross multiply
    207,179.87x = 310,769.80 × 137,042.78
  4. Step 4: Simplify right side
    207,179.87x = 42,588,755,092.98
  5. Step 5: Solve for x
    x = 42,588,755,092.98/207,179.87
  6. Step 6: Final answer
    x = 205,564.16

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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.