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Finding the Fourth Proportional to 125.89, 187.83 and 110.70

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Solution

The fourth proportional to 125.89, 187.83 and 110.70 is: 165.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.89 : 187.83 = 110.70 : x
  2. Step 2: Convert to fraction form
    125.89/187.83 = 110.70/x
  3. Step 3: Cross multiply
    125.89x = 187.83 × 110.70
  4. Step 4: Simplify right side
    125.89x = 20,792.78
  5. Step 5: Solve for x
    x = 20,792.78/125.89
  6. Step 6: Final answer
    x = 165.17

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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.