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Finding the Fourth Proportional to 138,693.50, 191,398.61 and 78,264.87

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Solution

The fourth proportional to 138,693.50, 191,398.61 and 78,264.87 is: 108,006.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,693.50 : 191,398.61 = 78,264.87 : x
  2. Step 2: Convert to fraction form
    138,693.50/191,398.61 = 78,264.87/x
  3. Step 3: Cross multiply
    138,693.50x = 191,398.61 × 78,264.87
  4. Step 4: Simplify right side
    138,693.50x = 14,979,786,807.75
  5. Step 5: Solve for x
    x = 14,979,786,807.75/138,693.50
  6. Step 6: Final answer
    x = 108,006.41

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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.