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Finding the Fourth Proportional to 140.16, 209.14 and 123.60

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Solution

The fourth proportional to 140.16, 209.14 and 123.60 is: 184.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.16 : 209.14 = 123.60 : x
  2. Step 2: Convert to fraction form
    140.16/209.14 = 123.60/x
  3. Step 3: Cross multiply
    140.16x = 209.14 × 123.60
  4. Step 4: Simplify right side
    140.16x = 25,849.70
  5. Step 5: Solve for x
    x = 25,849.70/140.16
  6. Step 6: Final answer
    x = 184.43

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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.