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Finding the Fourth Proportional to 208,353.11, 312,315.13 and 81,942.10

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Solution

The fourth proportional to 208,353.11, 312,315.13 and 81,942.10 is: 122,828.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,353.11 : 312,315.13 = 81,942.10 : x
  2. Step 2: Convert to fraction form
    208,353.11/312,315.13 = 81,942.10/x
  3. Step 3: Cross multiply
    208,353.11x = 312,315.13 × 81,942.10
  4. Step 4: Simplify right side
    208,353.11x = 25,591,758,692.39
  5. Step 5: Solve for x
    x = 25,591,758,692.39/208,353.11
  6. Step 6: Final answer
    x = 122,828.78

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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.