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Finding the Fourth Proportional to 113.71, 170.58 and 77.17

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Solution

The fourth proportional to 113.71, 170.58 and 77.17 is: 115.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.71 : 170.58 = 77.17 : x
  2. Step 2: Convert to fraction form
    113.71/170.58 = 77.17/x
  3. Step 3: Cross multiply
    113.71x = 170.58 × 77.17
  4. Step 4: Simplify right side
    113.71x = 13,163.66
  5. Step 5: Solve for x
    x = 13,163.66/113.71
  6. Step 6: Final answer
    x = 115.77

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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.