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Finding the Fourth Proportional to 138,876.86, 191,650.01 and 75,214.66

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Solution

The fourth proportional to 138,876.86, 191,650.01 and 75,214.66 is: 103,796.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,876.86 : 191,650.01 = 75,214.66 : x
  2. Step 2: Convert to fraction form
    138,876.86/191,650.01 = 75,214.66/x
  3. Step 3: Cross multiply
    138,876.86x = 191,650.01 × 75,214.66
  4. Step 4: Simplify right side
    138,876.86x = 14,414,890,341.15
  5. Step 5: Solve for x
    x = 14,414,890,341.15/138,876.86
  6. Step 6: Final answer
    x = 103,796.20

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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.