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Finding the Fourth Proportional to 117.25, 175.90 and 53.13

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Solution

The fourth proportional to 117.25, 175.90 and 53.13 is: 79.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.25 : 175.90 = 53.13 : x
  2. Step 2: Convert to fraction form
    117.25/175.90 = 53.13/x
  3. Step 3: Cross multiply
    117.25x = 175.90 × 53.13
  4. Step 4: Simplify right side
    117.25x = 9,345.57
  5. Step 5: Solve for x
    x = 9,345.57/117.25
  6. Step 6: Final answer
    x = 79.71

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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.