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Finding the Fourth Proportional to 123.16, 185.65 and 116.11

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Solution

The fourth proportional to 123.16, 185.65 and 116.11 is: 175.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.16 : 185.65 = 116.11 : x
  2. Step 2: Convert to fraction form
    123.16/185.65 = 116.11/x
  3. Step 3: Cross multiply
    123.16x = 185.65 × 116.11
  4. Step 4: Simplify right side
    123.16x = 21,554.31
  5. Step 5: Solve for x
    x = 21,554.31/123.16
  6. Step 6: Final answer
    x = 175.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.