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Finding the Fourth Proportional to 123.59, 170.16 and 115.31

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Solution

The fourth proportional to 123.59, 170.16 and 115.31 is: 158.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.59 : 170.16 = 115.31 : x
  2. Step 2: Convert to fraction form
    123.59/170.16 = 115.31/x
  3. Step 3: Cross multiply
    123.59x = 170.16 × 115.31
  4. Step 4: Simplify right side
    123.59x = 19,621.15
  5. Step 5: Solve for x
    x = 19,621.15/123.59
  6. Step 6: Final answer
    x = 158.76

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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.