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Finding the Fourth Proportional to 213,711.10, 320,566.65 and 89,035.90

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Solution

The fourth proportional to 213,711.10, 320,566.65 and 89,035.90 is: 133,553.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,711.10 : 320,566.65 = 89,035.90 : x
  2. Step 2: Convert to fraction form
    213,711.10/320,566.65 = 89,035.90/x
  3. Step 3: Cross multiply
    213,711.10x = 320,566.65 × 89,035.90
  4. Step 4: Simplify right side
    213,711.10x = 28,541,940,192.74
  5. Step 5: Solve for x
    x = 28,541,940,192.74/213,711.10
  6. Step 6: Final answer
    x = 133,553.85

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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.