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Finding the Fourth Proportional to 125.70, 189.55 and 111.30

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Solution

The fourth proportional to 125.70, 189.55 and 111.30 is: 167.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.70 : 189.55 = 111.30 : x
  2. Step 2: Convert to fraction form
    125.70/189.55 = 111.30/x
  3. Step 3: Cross multiply
    125.70x = 189.55 × 111.30
  4. Step 4: Simplify right side
    125.70x = 21,096.92
  5. Step 5: Solve for x
    x = 21,096.92/125.70
  6. Step 6: Final answer
    x = 167.84

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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.