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Finding the Fourth Proportional to 138,903.11, 191,674.92 and 78,479

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Solution

The fourth proportional to 138,903.11, 191,674.92 and 78,479 is: 108,294.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,903.11 : 191,674.92 = 78,479 : x
  2. Step 2: Convert to fraction form
    138,903.11/191,674.92 = 78,479/x
  3. Step 3: Cross multiply
    138,903.11x = 191,674.92 × 78,479
  4. Step 4: Simplify right side
    138,903.11x = 15,042,456,046.68
  5. Step 5: Solve for x
    x = 15,042,456,046.68/138,903.11
  6. Step 6: Final answer
    x = 108,294.60

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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.