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Finding the Fourth Proportional to 113.80, 170.75 and 48.85

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Solution

The fourth proportional to 113.80, 170.75 and 48.85 is: 73.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.80 : 170.75 = 48.85 : x
  2. Step 2: Convert to fraction form
    113.80/170.75 = 48.85/x
  3. Step 3: Cross multiply
    113.80x = 170.75 × 48.85
  4. Step 4: Simplify right side
    113.80x = 8,341.14
  5. Step 5: Solve for x
    x = 8,341.14/113.80
  6. Step 6: Final answer
    x = 73.30

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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.