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Finding the Fourth Proportional to 83,615.31, 115,388.54 and 45,373.88

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Solution

The fourth proportional to 83,615.31, 115,388.54 and 45,373.88 is: 62,615.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,615.31 : 115,388.54 = 45,373.88 : x
  2. Step 2: Convert to fraction form
    83,615.31/115,388.54 = 45,373.88/x
  3. Step 3: Cross multiply
    83,615.31x = 115,388.54 × 45,373.88
  4. Step 4: Simplify right side
    83,615.31x = 5,235,625,767.34
  5. Step 5: Solve for x
    x = 5,235,625,767.34/83,615.31
  6. Step 6: Final answer
    x = 62,615.64

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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.