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Finding the Fourth Proportional to 216,496.80, 324,745.20 and 137,959.20

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Solution

The fourth proportional to 216,496.80, 324,745.20 and 137,959.20 is: 206,938.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,496.80 : 324,745.20 = 137,959.20 : x
  2. Step 2: Convert to fraction form
    216,496.80/324,745.20 = 137,959.20/x
  3. Step 3: Cross multiply
    216,496.80x = 324,745.20 × 137,959.20
  4. Step 4: Simplify right side
    216,496.80x = 44,801,587,995.84
  5. Step 5: Solve for x
    x = 44,801,587,995.84/216,496.80
  6. Step 6: Final answer
    x = 206,938.80

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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.