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Finding the Fourth Proportional to 147.16, 219.52 and 124.48

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Solution

The fourth proportional to 147.16, 219.52 and 124.48 is: 185.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.16 : 219.52 = 124.48 : x
  2. Step 2: Convert to fraction form
    147.16/219.52 = 124.48/x
  3. Step 3: Cross multiply
    147.16x = 219.52 × 124.48
  4. Step 4: Simplify right side
    147.16x = 27,325.85
  5. Step 5: Solve for x
    x = 27,325.85/147.16
  6. Step 6: Final answer
    x = 185.69

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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.