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Finding the Fourth Proportional to 81,694.35, 122,541.62 and 25,534.75

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Solution

The fourth proportional to 81,694.35, 122,541.62 and 25,534.75 is: 38,302.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,694.35 : 122,541.62 = 25,534.75 : x
  2. Step 2: Convert to fraction form
    81,694.35/122,541.62 = 25,534.75/x
  3. Step 3: Cross multiply
    81,694.35x = 122,541.62 × 25,534.75
  4. Step 4: Simplify right side
    81,694.35x = 3,129,069,631.30
  5. Step 5: Solve for x
    x = 3,129,069,631.30/81,694.35
  6. Step 6: Final answer
    x = 38,302.15

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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.