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Finding the Fourth Proportional to 205,711.60, 308,506.92 and 87,382

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Solution

The fourth proportional to 205,711.60, 308,506.92 and 87,382 is: 131,047.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,711.60 : 308,506.92 = 87,382 : x
  2. Step 2: Convert to fraction form
    205,711.60/308,506.92 = 87,382/x
  3. Step 3: Cross multiply
    205,711.60x = 308,506.92 × 87,382
  4. Step 4: Simplify right side
    205,711.60x = 26,957,951,683.44
  5. Step 5: Solve for x
    x = 26,957,951,683.44/205,711.60
  6. Step 6: Final answer
    x = 131,047.31

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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.