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Finding the Fourth Proportional to 124.40, 170.98 and 109.76

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Solution

The fourth proportional to 124.40, 170.98 and 109.76 is: 150.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.40 : 170.98 = 109.76 : x
  2. Step 2: Convert to fraction form
    124.40/170.98 = 109.76/x
  3. Step 3: Cross multiply
    124.40x = 170.98 × 109.76
  4. Step 4: Simplify right side
    124.40x = 18,766.76
  5. Step 5: Solve for x
    x = 18,766.76/124.40
  6. Step 6: Final answer
    x = 150.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.