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Finding the Fourth Proportional to 83,896.90, 115,778.91 and 45,657.61

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Solution

The fourth proportional to 83,896.90, 115,778.91 and 45,657.61 is: 63,008.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,896.90 : 115,778.91 = 45,657.61 : x
  2. Step 2: Convert to fraction form
    83,896.90/115,778.91 = 45,657.61/x
  3. Step 3: Cross multiply
    83,896.90x = 115,778.91 × 45,657.61
  4. Step 4: Simplify right side
    83,896.90x = 5,286,188,319.01
  5. Step 5: Solve for x
    x = 5,286,188,319.01/83,896.90
  6. Step 6: Final answer
    x = 63,008.15

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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.