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Finding the Fourth Proportional to 113.03, 170.16 and 77.19

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Solution

The fourth proportional to 113.03, 170.16 and 77.19 is: 116.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.03 : 170.16 = 77.19 : x
  2. Step 2: Convert to fraction form
    113.03/170.16 = 77.19/x
  3. Step 3: Cross multiply
    113.03x = 170.16 × 77.19
  4. Step 4: Simplify right side
    113.03x = 13,134.65
  5. Step 5: Solve for x
    x = 13,134.65/113.03
  6. Step 6: Final answer
    x = 116.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.