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Finding the Fourth Proportional to 140.04, 209.07 and 124.66

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Solution

The fourth proportional to 140.04, 209.07 and 124.66 is: 186.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.04 : 209.07 = 124.66 : x
  2. Step 2: Convert to fraction form
    140.04/209.07 = 124.66/x
  3. Step 3: Cross multiply
    140.04x = 209.07 × 124.66
  4. Step 4: Simplify right side
    140.04x = 26,062.67
  5. Step 5: Solve for x
    x = 26,062.67/140.04
  6. Step 6: Final answer
    x = 186.11

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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.