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Finding the Fourth Proportional to 71,163.52, 106,756.80 and 21,904

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Solution

The fourth proportional to 71,163.52, 106,756.80 and 21,904 is: 32,859.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,163.52 : 106,756.80 = 21,904 : x
  2. Step 2: Convert to fraction form
    71,163.52/106,756.80 = 21,904/x
  3. Step 3: Cross multiply
    71,163.52x = 106,756.80 × 21,904
  4. Step 4: Simplify right side
    71,163.52x = 2,338,400,947.20
  5. Step 5: Solve for x
    x = 2,338,400,947.20/71,163.52
  6. Step 6: Final answer
    x = 32,859.55

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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.