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Finding the Fourth Proportional to 147.87, 220.92 and 123.57

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Solution

The fourth proportional to 147.87, 220.92 and 123.57 is: 184.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.87 : 220.92 = 123.57 : x
  2. Step 2: Convert to fraction form
    147.87/220.92 = 123.57/x
  3. Step 3: Cross multiply
    147.87x = 220.92 × 123.57
  4. Step 4: Simplify right side
    147.87x = 27,298.62
  5. Step 5: Solve for x
    x = 27,298.62/147.87
  6. Step 6: Final answer
    x = 184.61

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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.