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Finding the Fourth Proportional to 36,107.29, 54,169.80 and 12,415.20

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Solution

The fourth proportional to 36,107.29, 54,169.80 and 12,415.20 is: 18,625.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,107.29 : 54,169.80 = 12,415.20 : x
  2. Step 2: Convert to fraction form
    36,107.29/54,169.80 = 12,415.20/x
  3. Step 3: Cross multiply
    36,107.29x = 54,169.80 × 12,415.20
  4. Step 4: Simplify right side
    36,107.29x = 672,528,900.96
  5. Step 5: Solve for x
    x = 672,528,900.96/36,107.29
  6. Step 6: Final answer
    x = 18,625.85

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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.