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Finding the Fourth Proportional to 78,042.72, 107,687.44 and 45,765.14

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Solution

The fourth proportional to 78,042.72, 107,687.44 and 45,765.14 is: 63,149.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,042.72 : 107,687.44 = 45,765.14 : x
  2. Step 2: Convert to fraction form
    78,042.72/107,687.44 = 45,765.14/x
  3. Step 3: Cross multiply
    78,042.72x = 107,687.44 × 45,765.14
  4. Step 4: Simplify right side
    78,042.72x = 4,928,330,286.61
  5. Step 5: Solve for x
    x = 4,928,330,286.61/78,042.72
  6. Step 6: Final answer
    x = 63,149.13

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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.