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Finding the Fourth Proportional to 126.23, 174.30 and 98.72

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Solution

The fourth proportional to 126.23, 174.30 and 98.72 is: 136.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.23 : 174.30 = 98.72 : x
  2. Step 2: Convert to fraction form
    126.23/174.30 = 98.72/x
  3. Step 3: Cross multiply
    126.23x = 174.30 × 98.72
  4. Step 4: Simplify right side
    126.23x = 17,206.86
  5. Step 5: Solve for x
    x = 17,206.86/126.23
  6. Step 6: Final answer
    x = 136.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.