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Finding the Fourth Proportional to 213,515.90, 320,373.48 and 95,174.90

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Solution

The fourth proportional to 213,515.90, 320,373.48 and 95,174.90 is: 142,806.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,515.90 : 320,373.48 = 95,174.90 : x
  2. Step 2: Convert to fraction form
    213,515.90/320,373.48 = 95,174.90/x
  3. Step 3: Cross multiply
    213,515.90x = 320,373.48 × 95,174.90
  4. Step 4: Simplify right side
    213,515.90x = 30,491,513,921.65
  5. Step 5: Solve for x
    x = 30,491,513,921.65/213,515.90
  6. Step 6: Final answer
    x = 142,806.76

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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.