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Finding the Fourth Proportional to 202,872.70, 304,309.05 and 53,112.70

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Solution

The fourth proportional to 202,872.70, 304,309.05 and 53,112.70 is: 79,669.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,872.70 : 304,309.05 = 53,112.70 : x
  2. Step 2: Convert to fraction form
    202,872.70/304,309.05 = 53,112.70/x
  3. Step 3: Cross multiply
    202,872.70x = 304,309.05 × 53,112.70
  4. Step 4: Simplify right side
    202,872.70x = 16,162,675,279.94
  5. Step 5: Solve for x
    x = 16,162,675,279.94/202,872.70
  6. Step 6: Final answer
    x = 79,669.05

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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.