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Finding the Fourth Proportional to 213,842.50, 320,763.75 and 66,098.50

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Solution

The fourth proportional to 213,842.50, 320,763.75 and 66,098.50 is: 99,147.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,842.50 : 320,763.75 = 66,098.50 : x
  2. Step 2: Convert to fraction form
    213,842.50/320,763.75 = 66,098.50/x
  3. Step 3: Cross multiply
    213,842.50x = 320,763.75 × 66,098.50
  4. Step 4: Simplify right side
    213,842.50x = 21,202,002,729.38
  5. Step 5: Solve for x
    x = 21,202,002,729.38/213,842.50
  6. Step 6: Final answer
    x = 99,147.75

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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.