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Finding the Fourth Proportional to 52,811.30, 79,213.10 and 19,515.84

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Solution

The fourth proportional to 52,811.30, 79,213.10 and 19,515.84 is: 29,272.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,811.30 : 79,213.10 = 19,515.84 : x
  2. Step 2: Convert to fraction form
    52,811.30/79,213.10 = 19,515.84/x
  3. Step 3: Cross multiply
    52,811.30x = 79,213.10 × 19,515.84
  4. Step 4: Simplify right side
    52,811.30x = 1,545,910,087.92
  5. Step 5: Solve for x
    x = 1,545,910,087.92/52,811.30
  6. Step 6: Final answer
    x = 29,272.34

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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.