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Finding the Fourth Proportional to 123.18, 170.04 and 81.80

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Solution

The fourth proportional to 123.18, 170.04 and 81.80 is: 112.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.18 : 170.04 = 81.80 : x
  2. Step 2: Convert to fraction form
    123.18/170.04 = 81.80/x
  3. Step 3: Cross multiply
    123.18x = 170.04 × 81.80
  4. Step 4: Simplify right side
    123.18x = 13,909.37
  5. Step 5: Solve for x
    x = 13,909.37/123.18
  6. Step 6: Final answer
    x = 112.92

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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.