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Finding the Fourth Proportional to 124.82, 188.02 and 113.76

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Solution

The fourth proportional to 124.82, 188.02 and 113.76 is: 171.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.82 : 188.02 = 113.76 : x
  2. Step 2: Convert to fraction form
    124.82/188.02 = 113.76/x
  3. Step 3: Cross multiply
    124.82x = 188.02 × 113.76
  4. Step 4: Simplify right side
    124.82x = 21,389.16
  5. Step 5: Solve for x
    x = 21,389.16/124.82
  6. Step 6: Final answer
    x = 171.36

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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.