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Finding the Fourth Proportional to 123.87, 170.96 and 71.42

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Solution

The fourth proportional to 123.87, 170.96 and 71.42 is: 98.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.87 : 170.96 = 71.42 : x
  2. Step 2: Convert to fraction form
    123.87/170.96 = 71.42/x
  3. Step 3: Cross multiply
    123.87x = 170.96 × 71.42
  4. Step 4: Simplify right side
    123.87x = 12,210.21
  5. Step 5: Solve for x
    x = 12,210.21/123.87
  6. Step 6: Final answer
    x = 98.57

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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.