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Finding the Fourth Proportional to 142.60, 213.62 and 86.92

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Solution

The fourth proportional to 142.60, 213.62 and 86.92 is: 130.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.60 : 213.62 = 86.92 : x
  2. Step 2: Convert to fraction form
    142.60/213.62 = 86.92/x
  3. Step 3: Cross multiply
    142.60x = 213.62 × 86.92
  4. Step 4: Simplify right side
    142.60x = 18,567.85
  5. Step 5: Solve for x
    x = 18,567.85/142.60
  6. Step 6: Final answer
    x = 130.21

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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.