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Finding the Fourth Proportional to 145.38, 217.86 and 124.70

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Solution

The fourth proportional to 145.38, 217.86 and 124.70 is: 186.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.38 : 217.86 = 124.70 : x
  2. Step 2: Convert to fraction form
    145.38/217.86 = 124.70/x
  3. Step 3: Cross multiply
    145.38x = 217.86 × 124.70
  4. Step 4: Simplify right side
    145.38x = 27,167.14
  5. Step 5: Solve for x
    x = 27,167.14/145.38
  6. Step 6: Final answer
    x = 186.87

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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.