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Finding the Fourth Proportional to 51,207.88, 76,811.70 and 13,767.95

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Solution

The fourth proportional to 51,207.88, 76,811.70 and 13,767.95 is: 20,651.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,207.88 : 76,811.70 = 13,767.95 : x
  2. Step 2: Convert to fraction form
    51,207.88/76,811.70 = 13,767.95/x
  3. Step 3: Cross multiply
    51,207.88x = 76,811.70 × 13,767.95
  4. Step 4: Simplify right side
    51,207.88x = 1,057,539,645.02
  5. Step 5: Solve for x
    x = 1,057,539,645.02/51,207.88
  6. Step 6: Final answer
    x = 20,651.89

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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.