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Finding the Fourth Proportional to 117.56, 176.06 and 113.52

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Solution

The fourth proportional to 117.56, 176.06 and 113.52 is: 170.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.56 : 176.06 = 113.52 : x
  2. Step 2: Convert to fraction form
    117.56/176.06 = 113.52/x
  3. Step 3: Cross multiply
    117.56x = 176.06 × 113.52
  4. Step 4: Simplify right side
    117.56x = 19,986.33
  5. Step 5: Solve for x
    x = 19,986.33/117.56
  6. Step 6: Final answer
    x = 170.01

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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.