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Finding the Fourth Proportional to 71,813.99, 107,732.67 and 21,218.15

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Solution

The fourth proportional to 71,813.99, 107,732.67 and 21,218.15 is: 31,830.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,813.99 : 107,732.67 = 21,218.15 : x
  2. Step 2: Convert to fraction form
    71,813.99/107,732.67 = 21,218.15/x
  3. Step 3: Cross multiply
    71,813.99x = 107,732.67 × 21,218.15
  4. Step 4: Simplify right side
    71,813.99x = 2,285,888,141.72
  5. Step 5: Solve for x
    x = 2,285,888,141.72/71,813.99
  6. Step 6: Final answer
    x = 31,830.68

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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.