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Finding the Fourth Proportional to 100,393, 138,542.34 and 55,681

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Solution

The fourth proportional to 100,393, 138,542.34 and 55,681 is: 76,839.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,393 : 138,542.34 = 55,681 : x
  2. Step 2: Convert to fraction form
    100,393/138,542.34 = 55,681/x
  3. Step 3: Cross multiply
    100,393x = 138,542.34 × 55,681
  4. Step 4: Simplify right side
    100,393x = 7,714,176,033.54
  5. Step 5: Solve for x
    x = 7,714,176,033.54/100,393
  6. Step 6: Final answer
    x = 76,839.78

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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.