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Finding the Fourth Proportional to 138,893.12, 191,672.56 and 75,230.72

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Solution

The fourth proportional to 138,893.12, 191,672.56 and 75,230.72 is: 103,818.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,893.12 : 191,672.56 = 75,230.72 : x
  2. Step 2: Convert to fraction form
    138,893.12/191,672.56 = 75,230.72/x
  3. Step 3: Cross multiply
    138,893.12x = 191,672.56 × 75,230.72
  4. Step 4: Simplify right side
    138,893.12x = 14,419,664,693.04
  5. Step 5: Solve for x
    x = 14,419,664,693.04/138,893.12
  6. Step 6: Final answer
    x = 103,818.42

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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.