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Finding the Fourth Proportional to 217,557, 300,228.75 and 132,691.68

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Solution

The fourth proportional to 217,557, 300,228.75 and 132,691.68 is: 183,114.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,557 : 300,228.75 = 132,691.68 : x
  2. Step 2: Convert to fraction form
    217,557/300,228.75 = 132,691.68/x
  3. Step 3: Cross multiply
    217,557x = 300,228.75 × 132,691.68
  4. Step 4: Simplify right side
    217,557x = 39,837,857,221.80
  5. Step 5: Solve for x
    x = 39,837,857,221.80/217,557
  6. Step 6: Final answer
    x = 183,114.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.