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Finding the Fourth Proportional to 138,876.56, 191,649.72 and 75,214.64

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Solution

The fourth proportional to 138,876.56, 191,649.72 and 75,214.64 is: 103,796.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,876.56 : 191,649.72 = 75,214.64 : x
  2. Step 2: Convert to fraction form
    138,876.56/191,649.72 = 75,214.64/x
  3. Step 3: Cross multiply
    138,876.56x = 191,649.72 × 75,214.64
  4. Step 4: Simplify right side
    138,876.56x = 14,414,864,695.90
  5. Step 5: Solve for x
    x = 14,414,864,695.90/138,876.56
  6. Step 6: Final answer
    x = 103,796.24

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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.