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Finding the Fourth Proportional to 71,814.99, 107,734.17 and 21,219.15

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Solution

The fourth proportional to 71,814.99, 107,734.17 and 21,219.15 is: 31,832.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,814.99 : 107,734.17 = 21,219.15 : x
  2. Step 2: Convert to fraction form
    71,814.99/107,734.17 = 21,219.15/x
  3. Step 3: Cross multiply
    71,814.99x = 107,734.17 × 21,219.15
  4. Step 4: Simplify right side
    71,814.99x = 2,286,027,513.36
  5. Step 5: Solve for x
    x = 2,286,027,513.36/71,814.99
  6. Step 6: Final answer
    x = 31,832.18

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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.