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Finding the Fourth Proportional to 45,052.88, 67,584.78 and 13,888.13

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Solution

The fourth proportional to 45,052.88, 67,584.78 and 13,888.13 is: 20,833.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,052.88 : 67,584.78 = 13,888.13 : x
  2. Step 2: Convert to fraction form
    45,052.88/67,584.78 = 13,888.13/x
  3. Step 3: Cross multiply
    45,052.88x = 67,584.78 × 13,888.13
  4. Step 4: Simplify right side
    45,052.88x = 938,625,872.74
  5. Step 5: Solve for x
    x = 938,625,872.74/45,052.88
  6. Step 6: Final answer
    x = 20,833.87

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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.