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Finding the Fourth Proportional to 82,135.94, 123,216.05 and 25,963.29

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Solution

The fourth proportional to 82,135.94, 123,216.05 and 25,963.29 is: 38,948.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,135.94 : 123,216.05 = 25,963.29 : x
  2. Step 2: Convert to fraction form
    82,135.94/123,216.05 = 25,963.29/x
  3. Step 3: Cross multiply
    82,135.94x = 123,216.05 × 25,963.29
  4. Step 4: Simplify right side
    82,135.94x = 3,199,094,103.71
  5. Step 5: Solve for x
    x = 3,199,094,103.71/82,135.94
  6. Step 6: Final answer
    x = 38,948.78

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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.