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Finding the Fourth Proportional to 72,876.54, 109,314.81 and 41,689.92

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Solution

The fourth proportional to 72,876.54, 109,314.81 and 41,689.92 is: 62,534.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,876.54 : 109,314.81 = 41,689.92 : x
  2. Step 2: Convert to fraction form
    72,876.54/109,314.81 = 41,689.92/x
  3. Step 3: Cross multiply
    72,876.54x = 109,314.81 × 41,689.92
  4. Step 4: Simplify right side
    72,876.54x = 4,557,325,683.72
  5. Step 5: Solve for x
    x = 4,557,325,683.72/72,876.54
  6. Step 6: Final answer
    x = 62,534.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.