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Finding the Fourth Proportional to 124.64, 185.92 and 103.04

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Solution

The fourth proportional to 124.64, 185.92 and 103.04 is: 153.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.64 : 185.92 = 103.04 : x
  2. Step 2: Convert to fraction form
    124.64/185.92 = 103.04/x
  3. Step 3: Cross multiply
    124.64x = 185.92 × 103.04
  4. Step 4: Simplify right side
    124.64x = 19,157.20
  5. Step 5: Solve for x
    x = 19,157.20/124.64
  6. Step 6: Final answer
    x = 153.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.