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Finding the Fourth Proportional to 113.53, 170.19 and 77.47

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Solution

The fourth proportional to 113.53, 170.19 and 77.47 is: 116.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.53 : 170.19 = 77.47 : x
  2. Step 2: Convert to fraction form
    113.53/170.19 = 77.47/x
  3. Step 3: Cross multiply
    113.53x = 170.19 × 77.47
  4. Step 4: Simplify right side
    113.53x = 13,184.62
  5. Step 5: Solve for x
    x = 13,184.62/113.53
  6. Step 6: Final answer
    x = 116.13

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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.