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Finding the Fourth Proportional to 131.78, 181.97 and 88.13

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Solution

The fourth proportional to 131.78, 181.97 and 88.13 is: 121.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.78 : 181.97 = 88.13 : x
  2. Step 2: Convert to fraction form
    131.78/181.97 = 88.13/x
  3. Step 3: Cross multiply
    131.78x = 181.97 × 88.13
  4. Step 4: Simplify right side
    131.78x = 16,035.67
  5. Step 5: Solve for x
    x = 16,035.67/131.78
  6. Step 6: Final answer
    x = 121.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.