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Finding the Fourth Proportional to 51,205.88, 76,808.70 and 13,765.95

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Solution

The fourth proportional to 51,205.88, 76,808.70 and 13,765.95 is: 20,648.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,205.88 : 76,808.70 = 13,765.95 : x
  2. Step 2: Convert to fraction form
    51,205.88/76,808.70 = 13,765.95/x
  3. Step 3: Cross multiply
    51,205.88x = 76,808.70 × 13,765.95
  4. Step 4: Simplify right side
    51,205.88x = 1,057,344,723.77
  5. Step 5: Solve for x
    x = 1,057,344,723.77/51,205.88
  6. Step 6: Final answer
    x = 20,648.89

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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.