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Finding the Fourth Proportional to 117.29, 161.35 and 98.76

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Solution

The fourth proportional to 117.29, 161.35 and 98.76 is: 135.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.29 : 161.35 = 98.76 : x
  2. Step 2: Convert to fraction form
    117.29/161.35 = 98.76/x
  3. Step 3: Cross multiply
    117.29x = 161.35 × 98.76
  4. Step 4: Simplify right side
    117.29x = 15,934.68
  5. Step 5: Solve for x
    x = 15,934.68/117.29
  6. Step 6: Final answer
    x = 135.85

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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.