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Finding the Fourth Proportional to 71,471.36, 107,178.24 and 21,536

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Solution

The fourth proportional to 71,471.36, 107,178.24 and 21,536 is: 32,295.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,471.36 : 107,178.24 = 21,536 : x
  2. Step 2: Convert to fraction form
    71,471.36/107,178.24 = 21,536/x
  3. Step 3: Cross multiply
    71,471.36x = 107,178.24 × 21,536
  4. Step 4: Simplify right side
    71,471.36x = 2,308,190,576.64
  5. Step 5: Solve for x
    x = 2,308,190,576.64/71,471.36
  6. Step 6: Final answer
    x = 32,295.32

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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.