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Finding the Fourth Proportional to 81,987.30, 122,959.35 and 25,827.30

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Solution

The fourth proportional to 81,987.30, 122,959.35 and 25,827.30 is: 38,734.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,987.30 : 122,959.35 = 25,827.30 : x
  2. Step 2: Convert to fraction form
    81,987.30/122,959.35 = 25,827.30/x
  3. Step 3: Cross multiply
    81,987.30x = 122,959.35 × 25,827.30
  4. Step 4: Simplify right side
    81,987.30x = 3,175,708,020.26
  5. Step 5: Solve for x
    x = 3,175,708,020.26/81,987.30
  6. Step 6: Final answer
    x = 38,734.15

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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.