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Finding the Fourth Proportional to 203,026.80, 304,354.44 and 78,273.84

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Solution

The fourth proportional to 203,026.80, 304,354.44 and 78,273.84 is: 117,339.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,026.80 : 304,354.44 = 78,273.84 : x
  2. Step 2: Convert to fraction form
    203,026.80/304,354.44 = 78,273.84/x
  3. Step 3: Cross multiply
    203,026.80x = 304,354.44 × 78,273.84
  4. Step 4: Simplify right side
    203,026.80x = 23,822,990,739.85
  5. Step 5: Solve for x
    x = 23,822,990,739.85/203,026.80
  6. Step 6: Final answer
    x = 117,339.14

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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.