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Finding the Fourth Proportional to 84,093, 126,156.81 and 34,172.99

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Solution

The fourth proportional to 84,093, 126,156.81 and 34,172.99 is: 51,266.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,093 : 126,156.81 = 34,172.99 : x
  2. Step 2: Convert to fraction form
    84,093/126,156.81 = 34,172.99/x
  3. Step 3: Cross multiply
    84,093x = 126,156.81 × 34,172.99
  4. Step 4: Simplify right side
    84,093x = 4,311,155,406.56
  5. Step 5: Solve for x
    x = 4,311,155,406.56/84,093
  6. Step 6: Final answer
    x = 51,266.52

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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.