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Finding the Fourth Proportional to 86,463, 129,694.54 and 20,799

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Solution

The fourth proportional to 86,463, 129,694.54 and 20,799 is: 31,198.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,463 : 129,694.54 = 20,799 : x
  2. Step 2: Convert to fraction form
    86,463/129,694.54 = 20,799/x
  3. Step 3: Cross multiply
    86,463x = 129,694.54 × 20,799
  4. Step 4: Simplify right side
    86,463x = 2,697,516,737.46
  5. Step 5: Solve for x
    x = 2,697,516,737.46/86,463
  6. Step 6: Final answer
    x = 31,198.51

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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.