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Finding the Fourth Proportional to 124.24, 170.40 and 109.66

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Solution

The fourth proportional to 124.24, 170.40 and 109.66 is: 150.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.24 : 170.40 = 109.66 : x
  2. Step 2: Convert to fraction form
    124.24/170.40 = 109.66/x
  3. Step 3: Cross multiply
    124.24x = 170.40 × 109.66
  4. Step 4: Simplify right side
    124.24x = 18,686.06
  5. Step 5: Solve for x
    x = 18,686.06/124.24
  6. Step 6: Final answer
    x = 150.40

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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.