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Finding the Fourth Proportional to 71,830.77, 107,757.54 and 21,899.43

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Solution

The fourth proportional to 71,830.77, 107,757.54 and 21,899.43 is: 32,852.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,830.77 : 107,757.54 = 21,899.43 : x
  2. Step 2: Convert to fraction form
    71,830.77/107,757.54 = 21,899.43/x
  3. Step 3: Cross multiply
    71,830.77x = 107,757.54 × 21,899.43
  4. Step 4: Simplify right side
    71,830.77x = 2,359,828,704.20
  5. Step 5: Solve for x
    x = 2,359,828,704.20/71,830.77
  6. Step 6: Final answer
    x = 32,852.62

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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.