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Finding the Fourth Proportional to 202,974.80, 304,129.80 and 108,104.30

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Solution

The fourth proportional to 202,974.80, 304,129.80 and 108,104.30 is: 161,979.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,974.80 : 304,129.80 = 108,104.30 : x
  2. Step 2: Convert to fraction form
    202,974.80/304,129.80 = 108,104.30/x
  3. Step 3: Cross multiply
    202,974.80x = 304,129.80 × 108,104.30
  4. Step 4: Simplify right side
    202,974.80x = 32,877,739,138.14
  5. Step 5: Solve for x
    x = 32,877,739,138.14/202,974.80
  6. Step 6: Final answer
    x = 161,979.41

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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.