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Finding the Fourth Proportional to 100,234.26, 138,323.34 and 54,913.88

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Solution

The fourth proportional to 100,234.26, 138,323.34 and 54,913.88 is: 75,781.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,234.26 : 138,323.34 = 54,913.88 : x
  2. Step 2: Convert to fraction form
    100,234.26/138,323.34 = 54,913.88/x
  3. Step 3: Cross multiply
    100,234.26x = 138,323.34 × 54,913.88
  4. Step 4: Simplify right side
    100,234.26x = 7,595,871,293.96
  5. Step 5: Solve for x
    x = 7,595,871,293.96/100,234.26
  6. Step 6: Final answer
    x = 75,781.19

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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.