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Finding the Fourth Proportional to 78,581.75, 117,891.05 and 25,990.88

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Solution

The fourth proportional to 78,581.75, 117,891.05 and 25,990.88 is: 38,992.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,581.75 : 117,891.05 = 25,990.88 : x
  2. Step 2: Convert to fraction form
    78,581.75/117,891.05 = 25,990.88/x
  3. Step 3: Cross multiply
    78,581.75x = 117,891.05 × 25,990.88
  4. Step 4: Simplify right side
    78,581.75x = 3,064,091,414.21
  5. Step 5: Solve for x
    x = 3,064,091,414.21/78,581.75
  6. Step 6: Final answer
    x = 38,992.41

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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.