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Finding the Fourth Proportional to 123.47, 170.25 and 84.10

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Solution

The fourth proportional to 123.47, 170.25 and 84.10 is: 115.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.47 : 170.25 = 84.10 : x
  2. Step 2: Convert to fraction form
    123.47/170.25 = 84.10/x
  3. Step 3: Cross multiply
    123.47x = 170.25 × 84.10
  4. Step 4: Simplify right side
    123.47x = 14,318.24
  5. Step 5: Solve for x
    x = 14,318.24/123.47
  6. Step 6: Final answer
    x = 115.96

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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.