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Finding the Fourth Proportional to 138,677.88, 191,375.10 and 75,016.56

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Solution

The fourth proportional to 138,677.88, 191,375.10 and 75,016.56 is: 103,522.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,677.88 : 191,375.10 = 75,016.56 : x
  2. Step 2: Convert to fraction form
    138,677.88/191,375.10 = 75,016.56/x
  3. Step 3: Cross multiply
    138,677.88x = 191,375.10 × 75,016.56
  4. Step 4: Simplify right side
    138,677.88x = 14,356,301,671.66
  5. Step 5: Solve for x
    x = 14,356,301,671.66/138,677.88
  6. Step 6: Final answer
    x = 103,522.65

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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.