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Finding the Fourth Proportional to 117.01, 174.86 and 87.54

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Solution

The fourth proportional to 117.01, 174.86 and 87.54 is: 130.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.01 : 174.86 = 87.54 : x
  2. Step 2: Convert to fraction form
    117.01/174.86 = 87.54/x
  3. Step 3: Cross multiply
    117.01x = 174.86 × 87.54
  4. Step 4: Simplify right side
    117.01x = 15,306.88
  5. Step 5: Solve for x
    x = 15,306.88/117.01
  6. Step 6: Final answer
    x = 130.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.