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Finding the Fourth Proportional to 100,126.50, 138,174.98 and 55,414.50

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Solution

The fourth proportional to 100,126.50, 138,174.98 and 55,414.50 is: 76,472.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,126.50 : 138,174.98 = 55,414.50 : x
  2. Step 2: Convert to fraction form
    100,126.50/138,174.98 = 55,414.50/x
  3. Step 3: Cross multiply
    100,126.50x = 138,174.98 × 55,414.50
  4. Step 4: Simplify right side
    100,126.50x = 7,656,897,152.14
  5. Step 5: Solve for x
    x = 7,656,897,152.14/100,126.50
  6. Step 6: Final answer
    x = 76,472.23

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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.