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Finding the Fourth Proportional to 125.86, 189.99 and 125.14

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Solution

The fourth proportional to 125.86, 189.99 and 125.14 is: 188.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.86 : 189.99 = 125.14 : x
  2. Step 2: Convert to fraction form
    125.86/189.99 = 125.14/x
  3. Step 3: Cross multiply
    125.86x = 189.99 × 125.14
  4. Step 4: Simplify right side
    125.86x = 23,775.35
  5. Step 5: Solve for x
    x = 23,775.35/125.86
  6. Step 6: Final answer
    x = 188.90

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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.