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Finding the Fourth Proportional to 142,602.54, 213,834.60 and 71,494.62

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Solution

The fourth proportional to 142,602.54, 213,834.60 and 71,494.62 is: 107,207.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,602.54 : 213,834.60 = 71,494.62 : x
  2. Step 2: Convert to fraction form
    142,602.54/213,834.60 = 71,494.62/x
  3. Step 3: Cross multiply
    142,602.54x = 213,834.60 × 71,494.62
  4. Step 4: Simplify right side
    142,602.54x = 15,288,023,469.85
  5. Step 5: Solve for x
    x = 15,288,023,469.85/142,602.54
  6. Step 6: Final answer
    x = 107,207.23

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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.