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Finding the Fourth Proportional to 124.26, 185.52 and 102.57

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Solution

The fourth proportional to 124.26, 185.52 and 102.57 is: 153.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.26 : 185.52 = 102.57 : x
  2. Step 2: Convert to fraction form
    124.26/185.52 = 102.57/x
  3. Step 3: Cross multiply
    124.26x = 185.52 × 102.57
  4. Step 4: Simplify right side
    124.26x = 19,028.79
  5. Step 5: Solve for x
    x = 19,028.79/124.26
  6. Step 6: Final answer
    x = 153.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.