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Finding the Fourth Proportional to 202,116.20, 303,295.80 and 83,775.20

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Solution

The fourth proportional to 202,116.20, 303,295.80 and 83,775.20 is: 125,713.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,116.20 : 303,295.80 = 83,775.20 : x
  2. Step 2: Convert to fraction form
    202,116.20/303,295.80 = 83,775.20/x
  3. Step 3: Cross multiply
    202,116.20x = 303,295.80 × 83,775.20
  4. Step 4: Simplify right side
    202,116.20x = 25,408,666,304.16
  5. Step 5: Solve for x
    x = 25,408,666,304.16/202,116.20
  6. Step 6: Final answer
    x = 125,713.16

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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.