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Finding the Fourth Proportional to 142.95, 213.45 and 113.73

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Solution

The fourth proportional to 142.95, 213.45 and 113.73 is: 169.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.95 : 213.45 = 113.73 : x
  2. Step 2: Convert to fraction form
    142.95/213.45 = 113.73/x
  3. Step 3: Cross multiply
    142.95x = 213.45 × 113.73
  4. Step 4: Simplify right side
    142.95x = 24,275.67
  5. Step 5: Solve for x
    x = 24,275.67/142.95
  6. Step 6: Final answer
    x = 169.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.