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Finding the Fourth Proportional to 102,686.57, 153,815.19 and 82,587.41

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Solution

The fourth proportional to 102,686.57, 153,815.19 and 82,587.41 is: 123,708.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,686.57 : 153,815.19 = 82,587.41 : x
  2. Step 2: Convert to fraction form
    102,686.57/153,815.19 = 82,587.41/x
  3. Step 3: Cross multiply
    102,686.57x = 153,815.19 × 82,587.41
  4. Step 4: Simplify right side
    102,686.57x = 12,703,198,160.76
  5. Step 5: Solve for x
    x = 12,703,198,160.76/102,686.57
  6. Step 6: Final answer
    x = 123,708.47

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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.