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Finding the Fourth Proportional to 138,877.30, 191,649.72 and 75,213.64

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Solution

The fourth proportional to 138,877.30, 191,649.72 and 75,213.64 is: 103,794.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,877.30 : 191,649.72 = 75,213.64 : x
  2. Step 2: Convert to fraction form
    138,877.30/191,649.72 = 75,213.64/x
  3. Step 3: Cross multiply
    138,877.30x = 191,649.72 × 75,213.64
  4. Step 4: Simplify right side
    138,877.30x = 14,414,673,046.18
  5. Step 5: Solve for x
    x = 14,414,673,046.18/138,877.30
  6. Step 6: Final answer
    x = 103,794.31

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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.