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Finding the Fourth Proportional to 125.99, 189.10 and 61.91

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Solution

The fourth proportional to 125.99, 189.10 and 61.91 is: 92.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.99 : 189.10 = 61.91 : x
  2. Step 2: Convert to fraction form
    125.99/189.10 = 61.91/x
  3. Step 3: Cross multiply
    125.99x = 189.10 × 61.91
  4. Step 4: Simplify right side
    125.99x = 11,707.18
  5. Step 5: Solve for x
    x = 11,707.18/125.99
  6. Step 6: Final answer
    x = 92.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.