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Finding the Fourth Proportional to 123.02, 169.49 and 116.18

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Solution

The fourth proportional to 123.02, 169.49 and 116.18 is: 160.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.02 : 169.49 = 116.18 : x
  2. Step 2: Convert to fraction form
    123.02/169.49 = 116.18/x
  3. Step 3: Cross multiply
    123.02x = 169.49 × 116.18
  4. Step 4: Simplify right side
    123.02x = 19,692.38
  5. Step 5: Solve for x
    x = 19,692.38/123.02
  6. Step 6: Final answer
    x = 160.08

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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.