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Finding the Fourth Proportional to 113.92, 170.62 and 70.46

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Solution

The fourth proportional to 113.92, 170.62 and 70.46 is: 105.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.92 : 170.62 = 70.46 : x
  2. Step 2: Convert to fraction form
    113.92/170.62 = 70.46/x
  3. Step 3: Cross multiply
    113.92x = 170.62 × 70.46
  4. Step 4: Simplify right side
    113.92x = 12,021.89
  5. Step 5: Solve for x
    x = 12,021.89/113.92
  6. Step 6: Final answer
    x = 105.53

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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.