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Finding the Fourth Proportional to 138,879.92, 191,669.88 and 78,454.46

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Solution

The fourth proportional to 138,879.92, 191,669.88 and 78,454.46 is: 108,275.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,879.92 : 191,669.88 = 78,454.46 : x
  2. Step 2: Convert to fraction form
    138,879.92/191,669.88 = 78,454.46/x
  3. Step 3: Cross multiply
    138,879.92x = 191,669.88 × 78,454.46
  4. Step 4: Simplify right side
    138,879.92x = 15,037,356,933.66
  5. Step 5: Solve for x
    x = 15,037,356,933.66/138,879.92
  6. Step 6: Final answer
    x = 108,275.96

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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.