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Finding the Fourth Proportional to 143,821.52, 215,732.11 and 38,640.49

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Solution

The fourth proportional to 143,821.52, 215,732.11 and 38,640.49 is: 57,960.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,821.52 : 215,732.11 = 38,640.49 : x
  2. Step 2: Convert to fraction form
    143,821.52/215,732.11 = 38,640.49/x
  3. Step 3: Cross multiply
    143,821.52x = 215,732.11 × 38,640.49
  4. Step 4: Simplify right side
    143,821.52x = 8,335,995,089.15
  5. Step 5: Solve for x
    x = 8,335,995,089.15/143,821.52
  6. Step 6: Final answer
    x = 57,960.69

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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.