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Finding the Fourth Proportional to 140.87, 212.15 and 123.94

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Solution

The fourth proportional to 140.87, 212.15 and 123.94 is: 186.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.87 : 212.15 = 123.94 : x
  2. Step 2: Convert to fraction form
    140.87/212.15 = 123.94/x
  3. Step 3: Cross multiply
    140.87x = 212.15 × 123.94
  4. Step 4: Simplify right side
    140.87x = 26,293.85
  5. Step 5: Solve for x
    x = 26,293.85/140.87
  6. Step 6: Final answer
    x = 186.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.