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Finding the Fourth Proportional to 124.28, 170.65 and 105.64

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Solution

The fourth proportional to 124.28, 170.65 and 105.64 is: 145.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.28 : 170.65 = 105.64 : x
  2. Step 2: Convert to fraction form
    124.28/170.65 = 105.64/x
  3. Step 3: Cross multiply
    124.28x = 170.65 × 105.64
  4. Step 4: Simplify right side
    124.28x = 18,027.47
  5. Step 5: Solve for x
    x = 18,027.47/124.28
  6. Step 6: Final answer
    x = 145.06

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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.