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Finding the Fourth Proportional to 207,972.80, 311,959.20 and 83,403.20

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Solution

The fourth proportional to 207,972.80, 311,959.20 and 83,403.20 is: 125,104.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,972.80 : 311,959.20 = 83,403.20 : x
  2. Step 2: Convert to fraction form
    207,972.80/311,959.20 = 83,403.20/x
  3. Step 3: Cross multiply
    207,972.80x = 311,959.20 × 83,403.20
  4. Step 4: Simplify right side
    207,972.80x = 26,018,395,549.44
  5. Step 5: Solve for x
    x = 26,018,395,549.44/207,972.80
  6. Step 6: Final answer
    x = 125,104.80

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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.