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Finding the Fourth Proportional to 140.74, 210.01 and 124.54

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Solution

The fourth proportional to 140.74, 210.01 and 124.54 is: 185.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.74 : 210.01 = 124.54 : x
  2. Step 2: Convert to fraction form
    140.74/210.01 = 124.54/x
  3. Step 3: Cross multiply
    140.74x = 210.01 × 124.54
  4. Step 4: Simplify right side
    140.74x = 26,154.02
  5. Step 5: Solve for x
    x = 26,154.02/140.74
  6. Step 6: Final answer
    x = 185.83

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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.