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Finding the Fourth Proportional to 69,542, 96,020.56 and 42,721.28

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Solution

The fourth proportional to 69,542, 96,020.56 and 42,721.28 is: 58,987.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,542 : 96,020.56 = 42,721.28 : x
  2. Step 2: Convert to fraction form
    69,542/96,020.56 = 42,721.28/x
  3. Step 3: Cross multiply
    69,542x = 96,020.56 × 42,721.28
  4. Step 4: Simplify right side
    69,542x = 4,102,121,229.52
  5. Step 5: Solve for x
    x = 4,102,121,229.52/69,542
  6. Step 6: Final answer
    x = 58,987.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.