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Finding the Fourth Proportional to 71,897.32, 107,846.24 and 21,977.22

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Solution

The fourth proportional to 71,897.32, 107,846.24 and 21,977.22 is: 32,965.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,897.32 : 107,846.24 = 21,977.22 : x
  2. Step 2: Convert to fraction form
    71,897.32/107,846.24 = 21,977.22/x
  3. Step 3: Cross multiply
    71,897.32x = 107,846.24 × 21,977.22
  4. Step 4: Simplify right side
    71,897.32x = 2,370,160,542.65
  5. Step 5: Solve for x
    x = 2,370,160,542.65/71,897.32
  6. Step 6: Final answer
    x = 32,965.91

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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.