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Finding the Fourth Proportional to 117.01, 161.49 and 87.85

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Solution

The fourth proportional to 117.01, 161.49 and 87.85 is: 121.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.01 : 161.49 = 87.85 : x
  2. Step 2: Convert to fraction form
    117.01/161.49 = 87.85/x
  3. Step 3: Cross multiply
    117.01x = 161.49 × 87.85
  4. Step 4: Simplify right side
    117.01x = 14,186.90
  5. Step 5: Solve for x
    x = 14,186.90/117.01
  6. Step 6: Final answer
    x = 121.25

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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.