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Finding the Fourth Proportional to 124.32, 187.17 and 109.20

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Solution

The fourth proportional to 124.32, 187.17 and 109.20 is: 164.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.32 : 187.17 = 109.20 : x
  2. Step 2: Convert to fraction form
    124.32/187.17 = 109.20/x
  3. Step 3: Cross multiply
    124.32x = 187.17 × 109.20
  4. Step 4: Simplify right side
    124.32x = 20,438.96
  5. Step 5: Solve for x
    x = 20,438.96/124.32
  6. Step 6: Final answer
    x = 164.41

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