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Finding the Fourth Proportional to 138,876.08, 191,649.48 and 75,213.68

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Solution

The fourth proportional to 138,876.08, 191,649.48 and 75,213.68 is: 103,795.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,876.08 : 191,649.48 = 75,213.68 : x
  2. Step 2: Convert to fraction form
    138,876.08/191,649.48 = 75,213.68/x
  3. Step 3: Cross multiply
    138,876.08x = 191,649.48 × 75,213.68
  4. Step 4: Simplify right side
    138,876.08x = 14,414,662,660.89
  5. Step 5: Solve for x
    x = 14,414,662,660.89/138,876.08
  6. Step 6: Final answer
    x = 103,795.14

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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.