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Finding the Fourth Proportional to 125.79, 187.92 and 105.29

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Solution

The fourth proportional to 125.79, 187.92 and 105.29 is: 157.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.79 : 187.92 = 105.29 : x
  2. Step 2: Convert to fraction form
    125.79/187.92 = 105.29/x
  3. Step 3: Cross multiply
    125.79x = 187.92 × 105.29
  4. Step 4: Simplify right side
    125.79x = 19,785.16
  5. Step 5: Solve for x
    x = 19,785.16/125.79
  6. Step 6: Final answer
    x = 157.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.