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Finding the Fourth Proportional to 117.24, 175.62 and 91.56

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Solution

The fourth proportional to 117.24, 175.62 and 91.56 is: 137.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.24 : 175.62 = 91.56 : x
  2. Step 2: Convert to fraction form
    117.24/175.62 = 91.56/x
  3. Step 3: Cross multiply
    117.24x = 175.62 × 91.56
  4. Step 4: Simplify right side
    117.24x = 16,079.77
  5. Step 5: Solve for x
    x = 16,079.77/117.24
  6. Step 6: Final answer
    x = 137.15

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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.