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Finding the Fourth Proportional to 202,874.36, 304,311.30 and 78,127.88

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Solution

The fourth proportional to 202,874.36, 304,311.30 and 78,127.88 is: 117,191.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,874.36 : 304,311.30 = 78,127.88 : x
  2. Step 2: Convert to fraction form
    202,874.36/304,311.30 = 78,127.88/x
  3. Step 3: Cross multiply
    202,874.36x = 304,311.30 × 78,127.88
  4. Step 4: Simplify right side
    202,874.36x = 23,775,196,729.04
  5. Step 5: Solve for x
    x = 23,775,196,729.04/202,874.36
  6. Step 6: Final answer
    x = 117,191.73

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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.