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Finding the Fourth Proportional to 78,195.48, 117,266.66 and 25,591.88

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Solution

The fourth proportional to 78,195.48, 117,266.66 and 25,591.88 is: 38,379.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,195.48 : 117,266.66 = 25,591.88 : x
  2. Step 2: Convert to fraction form
    78,195.48/117,266.66 = 25,591.88/x
  3. Step 3: Cross multiply
    78,195.48x = 117,266.66 × 25,591.88
  4. Step 4: Simplify right side
    78,195.48x = 3,001,074,290.72
  5. Step 5: Solve for x
    x = 3,001,074,290.72/78,195.48
  6. Step 6: Final answer
    x = 38,379.13

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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.