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Finding the Fourth Proportional to 140.87, 211.59 and 123.86

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Solution

The fourth proportional to 140.87, 211.59 and 123.86 is: 186.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.87 : 211.59 = 123.86 : x
  2. Step 2: Convert to fraction form
    140.87/211.59 = 123.86/x
  3. Step 3: Cross multiply
    140.87x = 211.59 × 123.86
  4. Step 4: Simplify right side
    140.87x = 26,206.48
  5. Step 5: Solve for x
    x = 26,206.48/140.87
  6. Step 6: Final answer
    x = 186.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.