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Finding the Fourth Proportional to 39,813.72, 59,729.22 and 12,111

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Solution

The fourth proportional to 39,813.72, 59,729.22 and 12,111 is: 18,169.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,813.72 : 59,729.22 = 12,111 : x
  2. Step 2: Convert to fraction form
    39,813.72/59,729.22 = 12,111/x
  3. Step 3: Cross multiply
    39,813.72x = 59,729.22 × 12,111
  4. Step 4: Simplify right side
    39,813.72x = 723,380,583.42
  5. Step 5: Solve for x
    x = 723,380,583.42/39,813.72
  6. Step 6: Final answer
    x = 18,169.13

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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.