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Finding the Fourth Proportional to 216,203.52, 324,305.28 and 68,448

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Solution

The fourth proportional to 216,203.52, 324,305.28 and 68,448 is: 102,672.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,203.52 : 324,305.28 = 68,448 : x
  2. Step 2: Convert to fraction form
    216,203.52/324,305.28 = 68,448/x
  3. Step 3: Cross multiply
    216,203.52x = 324,305.28 × 68,448
  4. Step 4: Simplify right side
    216,203.52x = 22,198,047,805.44
  5. Step 5: Solve for x
    x = 22,198,047,805.44/216,203.52
  6. Step 6: Final answer
    x = 102,672.00

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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.