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Finding the Fourth Proportional to 138,734.82, 191,454.56 and 75,072.62

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Solution

The fourth proportional to 138,734.82, 191,454.56 and 75,072.62 is: 103,600.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,734.82 : 191,454.56 = 75,072.62 : x
  2. Step 2: Convert to fraction form
    138,734.82/191,454.56 = 75,072.62/x
  3. Step 3: Cross multiply
    138,734.82x = 191,454.56 × 75,072.62
  4. Step 4: Simplify right side
    138,734.82x = 14,372,995,430.15
  5. Step 5: Solve for x
    x = 14,372,995,430.15/138,734.82
  6. Step 6: Final answer
    x = 103,600.49

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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.