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Finding the Fourth Proportional to 100,545, 138,753.66 and 55,227.62

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Solution

The fourth proportional to 100,545, 138,753.66 and 55,227.62 is: 76,214.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,545 : 138,753.66 = 55,227.62 : x
  2. Step 2: Convert to fraction form
    100,545/138,753.66 = 55,227.62/x
  3. Step 3: Cross multiply
    100,545x = 138,753.66 × 55,227.62
  4. Step 4: Simplify right side
    100,545x = 7,663,034,408.09
  5. Step 5: Solve for x
    x = 7,663,034,408.09/100,545
  6. Step 6: Final answer
    x = 76,214.97

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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.