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Finding the Fourth Proportional to 67,821.78, 101,601.47 and 38,149.46

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Solution

The fourth proportional to 67,821.78, 101,601.47 and 38,149.46 is: 57,150.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,821.78 : 101,601.47 = 38,149.46 : x
  2. Step 2: Convert to fraction form
    67,821.78/101,601.47 = 38,149.46/x
  3. Step 3: Cross multiply
    67,821.78x = 101,601.47 × 38,149.46
  4. Step 4: Simplify right side
    67,821.78x = 3,876,041,215.71
  5. Step 5: Solve for x
    x = 3,876,041,215.71/67,821.78
  6. Step 6: Final answer
    x = 57,150.39

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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.