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Finding the Fourth Proportional to 116.05, 174.07 and 95.70

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Solution

The fourth proportional to 116.05, 174.07 and 95.70 is: 143.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.05 : 174.07 = 95.70 : x
  2. Step 2: Convert to fraction form
    116.05/174.07 = 95.70/x
  3. Step 3: Cross multiply
    116.05x = 174.07 × 95.70
  4. Step 4: Simplify right side
    116.05x = 16,658.50
  5. Step 5: Solve for x
    x = 16,658.50/116.05
  6. Step 6: Final answer
    x = 143.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.