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Finding the Fourth Proportional to 83,378.24, 115,062 and 45,654.88

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Solution

The fourth proportional to 83,378.24, 115,062 and 45,654.88 is: 63,003.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,378.24 : 115,062 = 45,654.88 : x
  2. Step 2: Convert to fraction form
    83,378.24/115,062 = 45,654.88/x
  3. Step 3: Cross multiply
    83,378.24x = 115,062 × 45,654.88
  4. Step 4: Simplify right side
    83,378.24x = 5,253,141,802.56
  5. Step 5: Solve for x
    x = 5,253,141,802.56/83,378.24
  6. Step 6: Final answer
    x = 63,003.75

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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.