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Finding the Fourth Proportional to 100,304, 138,420.24 and 55,592

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Solution

The fourth proportional to 100,304, 138,420.24 and 55,592 is: 76,717.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,304 : 138,420.24 = 55,592 : x
  2. Step 2: Convert to fraction form
    100,304/138,420.24 = 55,592/x
  3. Step 3: Cross multiply
    100,304x = 138,420.24 × 55,592
  4. Step 4: Simplify right side
    100,304x = 7,695,057,982.08
  5. Step 5: Solve for x
    x = 7,695,057,982.08/100,304
  6. Step 6: Final answer
    x = 76,717.36

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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.