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Finding the Fourth Proportional to 142,662.52, 196,874.10 and 79,000.24

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Solution

The fourth proportional to 142,662.52, 196,874.10 and 79,000.24 is: 109,020.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,662.52 : 196,874.10 = 79,000.24 : x
  2. Step 2: Convert to fraction form
    142,662.52/196,874.10 = 79,000.24/x
  3. Step 3: Cross multiply
    142,662.52x = 196,874.10 × 79,000.24
  4. Step 4: Simplify right side
    142,662.52x = 15,553,101,149.78
  5. Step 5: Solve for x
    x = 15,553,101,149.78/142,662.52
  6. Step 6: Final answer
    x = 109,020.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.