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Finding the Fourth Proportional to 275,709.80, 413,564.70 and 88,721.30

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Solution

The fourth proportional to 275,709.80, 413,564.70 and 88,721.30 is: 133,081.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,709.80 : 413,564.70 = 88,721.30 : x
  2. Step 2: Convert to fraction form
    275,709.80/413,564.70 = 88,721.30/x
  3. Step 3: Cross multiply
    275,709.80x = 413,564.70 × 88,721.30
  4. Step 4: Simplify right side
    275,709.80x = 36,691,997,818.11
  5. Step 5: Solve for x
    x = 36,691,997,818.11/275,709.80
  6. Step 6: Final answer
    x = 133,081.95

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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.