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Finding the Fourth Proportional to 131.78, 181.74 and 98.56

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Solution

The fourth proportional to 131.78, 181.74 and 98.56 is: 135.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.78 : 181.74 = 98.56 : x
  2. Step 2: Convert to fraction form
    131.78/181.74 = 98.56/x
  3. Step 3: Cross multiply
    131.78x = 181.74 × 98.56
  4. Step 4: Simplify right side
    131.78x = 17,912.29
  5. Step 5: Solve for x
    x = 17,912.29/131.78
  6. Step 6: Final answer
    x = 135.93

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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.