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Finding the Fourth Proportional to 100,565.88, 138,776.42 and 60,301.86

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Solution

The fourth proportional to 100,565.88, 138,776.42 and 60,301.86 is: 83,213.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,565.88 : 138,776.42 = 60,301.86 : x
  2. Step 2: Convert to fraction form
    100,565.88/138,776.42 = 60,301.86/x
  3. Step 3: Cross multiply
    100,565.88x = 138,776.42 × 60,301.86
  4. Step 4: Simplify right side
    100,565.88x = 8,368,476,250.14
  5. Step 5: Solve for x
    x = 8,368,476,250.14/100,565.88
  6. Step 6: Final answer
    x = 83,213.87

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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.