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Finding the Fourth Proportional to 202,047.40, 303,042.78 and 107,235.88

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Solution

The fourth proportional to 202,047.40, 303,042.78 and 107,235.88 is: 160,838.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,047.40 : 303,042.78 = 107,235.88 : x
  2. Step 2: Convert to fraction form
    202,047.40/303,042.78 = 107,235.88/x
  3. Step 3: Cross multiply
    202,047.40x = 303,042.78 × 107,235.88
  4. Step 4: Simplify right side
    202,047.40x = 32,497,059,190.95
  5. Step 5: Solve for x
    x = 32,497,059,190.95/202,047.40
  6. Step 6: Final answer
    x = 160,838.79

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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.