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Finding the Fourth Proportional to 205,138.46, 307,845.11 and 72,019.11

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Solution

The fourth proportional to 205,138.46, 307,845.11 and 72,019.11 is: 108,076.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,138.46 : 307,845.11 = 72,019.11 : x
  2. Step 2: Convert to fraction form
    205,138.46/307,845.11 = 72,019.11/x
  3. Step 3: Cross multiply
    205,138.46x = 307,845.11 × 72,019.11
  4. Step 4: Simplify right side
    205,138.46x = 22,170,730,840.05
  5. Step 5: Solve for x
    x = 22,170,730,840.05/205,138.46
  6. Step 6: Final answer
    x = 108,076.91

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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.