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Finding the Fourth Proportional to 125.81, 187.74 and 112.18

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Solution

The fourth proportional to 125.81, 187.74 and 112.18 is: 167.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.81 : 187.74 = 112.18 : x
  2. Step 2: Convert to fraction form
    125.81/187.74 = 112.18/x
  3. Step 3: Cross multiply
    125.81x = 187.74 × 112.18
  4. Step 4: Simplify right side
    125.81x = 21,060.67
  5. Step 5: Solve for x
    x = 21,060.67/125.81
  6. Step 6: Final answer
    x = 167.40

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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.