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Finding the Fourth Proportional to 78,686.66, 108,473.27 and 54,450.70

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Solution

The fourth proportional to 78,686.66, 108,473.27 and 54,450.70 is: 75,062.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,686.66 : 108,473.27 = 54,450.70 : x
  2. Step 2: Convert to fraction form
    78,686.66/108,473.27 = 54,450.70/x
  3. Step 3: Cross multiply
    78,686.66x = 108,473.27 × 54,450.70
  4. Step 4: Simplify right side
    78,686.66x = 5,906,444,939.35
  5. Step 5: Solve for x
    x = 5,906,444,939.35/78,686.66
  6. Step 6: Final answer
    x = 75,062.85

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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.