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Finding the Fourth Proportional to 78,042.47, 117,082.33 and 25,452

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Solution

The fourth proportional to 78,042.47, 117,082.33 and 25,452 is: 38,184.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,042.47 : 117,082.33 = 25,452 : x
  2. Step 2: Convert to fraction form
    78,042.47/117,082.33 = 25,452/x
  3. Step 3: Cross multiply
    78,042.47x = 117,082.33 × 25,452
  4. Step 4: Simplify right side
    78,042.47x = 2,979,979,399.53
  5. Step 5: Solve for x
    x = 2,979,979,399.53/78,042.47
  6. Step 6: Final answer
    x = 38,184.08

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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.