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Finding the Fourth Proportional to 124.24, 187.08 and 109.20

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Solution

The fourth proportional to 124.24, 187.08 and 109.20 is: 164.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.24 : 187.08 = 109.20 : x
  2. Step 2: Convert to fraction form
    124.24/187.08 = 109.20/x
  3. Step 3: Cross multiply
    124.24x = 187.08 × 109.20
  4. Step 4: Simplify right side
    124.24x = 20,429.14
  5. Step 5: Solve for x
    x = 20,429.14/124.24
  6. Step 6: Final answer
    x = 164.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.