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Finding the Fourth Proportional to 100,522.44, 138,724.20 and 58,080.96

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Solution

The fourth proportional to 100,522.44, 138,724.20 and 58,080.96 is: 80,153.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,522.44 : 138,724.20 = 58,080.96 : x
  2. Step 2: Convert to fraction form
    100,522.44/138,724.20 = 58,080.96/x
  3. Step 3: Cross multiply
    100,522.44x = 138,724.20 × 58,080.96
  4. Step 4: Simplify right side
    100,522.44x = 8,057,234,711.23
  5. Step 5: Solve for x
    x = 8,057,234,711.23/100,522.44
  6. Step 6: Final answer
    x = 80,153.59

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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.