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Finding the Fourth Proportional to 102,687.97, 141,650.25 and 61,823.65

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Solution

The fourth proportional to 102,687.97, 141,650.25 and 61,823.65 is: 85,281.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,687.97 : 141,650.25 = 61,823.65 : x
  2. Step 2: Convert to fraction form
    102,687.97/141,650.25 = 61,823.65/x
  3. Step 3: Cross multiply
    102,687.97x = 141,650.25 × 61,823.65
  4. Step 4: Simplify right side
    102,687.97x = 8,757,335,478.41
  5. Step 5: Solve for x
    x = 8,757,335,478.41/102,687.97
  6. Step 6: Final answer
    x = 85,281.03

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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.