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Finding the Fourth Proportional to 202,857.20, 304,471.80 and 103,086.80

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Solution

The fourth proportional to 202,857.20, 304,471.80 and 103,086.80 is: 154,724.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,857.20 : 304,471.80 = 103,086.80 : x
  2. Step 2: Convert to fraction form
    202,857.20/304,471.80 = 103,086.80/x
  3. Step 3: Cross multiply
    202,857.20x = 304,471.80 × 103,086.80
  4. Step 4: Simplify right side
    202,857.20x = 31,387,023,552.24
  5. Step 5: Solve for x
    x = 31,387,023,552.24/202,857.20
  6. Step 6: Final answer
    x = 154,724.72

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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.