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Finding the Fourth Proportional to 170.42, 235.28 and 123.75

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Solution

The fourth proportional to 170.42, 235.28 and 123.75 is: 170.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.42 : 235.28 = 123.75 : x
  2. Step 2: Convert to fraction form
    170.42/235.28 = 123.75/x
  3. Step 3: Cross multiply
    170.42x = 235.28 × 123.75
  4. Step 4: Simplify right side
    170.42x = 29,116.21
  5. Step 5: Solve for x
    x = 29,116.21/170.42
  6. Step 6: Final answer
    x = 170.85

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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.