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Finding the Fourth Proportional to 78,042.60, 117,052.02 and 25,452

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Solution

The fourth proportional to 78,042.60, 117,052.02 and 25,452 is: 38,174.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,042.60 : 117,052.02 = 25,452 : x
  2. Step 2: Convert to fraction form
    78,042.60/117,052.02 = 25,452/x
  3. Step 3: Cross multiply
    78,042.60x = 117,052.02 × 25,452
  4. Step 4: Simplify right side
    78,042.60x = 2,979,208,013.04
  5. Step 5: Solve for x
    x = 2,979,208,013.04/78,042.60
  6. Step 6: Final answer
    x = 38,174.13

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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.