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Finding the Fourth Proportional to 202,155.90, 303,270.30 and 83,839.20

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Solution

The fourth proportional to 202,155.90, 303,270.30 and 83,839.20 is: 125,773.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,155.90 : 303,270.30 = 83,839.20 : x
  2. Step 2: Convert to fraction form
    202,155.90/303,270.30 = 83,839.20/x
  3. Step 3: Cross multiply
    202,155.90x = 303,270.30 × 83,839.20
  4. Step 4: Simplify right side
    202,155.90x = 25,425,939,335.76
  5. Step 5: Solve for x
    x = 25,425,939,335.76/202,155.90
  6. Step 6: Final answer
    x = 125,773.92

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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.