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Finding the Fourth Proportional to 71,897.82, 107,847 and 21,977.73

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Solution

The fourth proportional to 71,897.82, 107,847 and 21,977.73 is: 32,966.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,897.82 : 107,847 = 21,977.73 : x
  2. Step 2: Convert to fraction form
    71,897.82/107,847 = 21,977.73/x
  3. Step 3: Cross multiply
    71,897.82x = 107,847 × 21,977.73
  4. Step 4: Simplify right side
    71,897.82x = 2,370,232,247.31
  5. Step 5: Solve for x
    x = 2,370,232,247.31/71,897.82
  6. Step 6: Final answer
    x = 32,966.68

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1.5x scale

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.