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Finding the Fourth Proportional to 83,881.81, 115,760.09 and 48,078.73

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Solution

The fourth proportional to 83,881.81, 115,760.09 and 48,078.73 is: 66,350.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,881.81 : 115,760.09 = 48,078.73 : x
  2. Step 2: Convert to fraction form
    83,881.81/115,760.09 = 48,078.73/x
  3. Step 3: Cross multiply
    83,881.81x = 115,760.09 × 48,078.73
  4. Step 4: Simplify right side
    83,881.81x = 5,565,597,292.69
  5. Step 5: Solve for x
    x = 5,565,597,292.69/83,881.81
  6. Step 6: Final answer
    x = 66,350.47

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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.