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Finding the Fourth Proportional to 125.80, 189.40 and 115.04

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Solution

The fourth proportional to 125.80, 189.40 and 115.04 is: 173.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.80 : 189.40 = 115.04 : x
  2. Step 2: Convert to fraction form
    125.80/189.40 = 115.04/x
  3. Step 3: Cross multiply
    125.80x = 189.40 × 115.04
  4. Step 4: Simplify right side
    125.80x = 21,788.20
  5. Step 5: Solve for x
    x = 21,788.20/125.80
  6. Step 6: Final answer
    x = 173.20

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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.