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Finding the Fourth Proportional to 124.14, 185.20 and 118.34

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Solution

The fourth proportional to 124.14, 185.20 and 118.34 is: 176.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.14 : 185.20 = 118.34 : x
  2. Step 2: Convert to fraction form
    124.14/185.20 = 118.34/x
  3. Step 3: Cross multiply
    124.14x = 185.20 × 118.34
  4. Step 4: Simplify right side
    124.14x = 21,916.57
  5. Step 5: Solve for x
    x = 21,916.57/124.14
  6. Step 6: Final answer
    x = 176.55

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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.