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Finding the Fourth Proportional to 71,163.78, 106,742.02 and 21,244.29

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Solution

The fourth proportional to 71,163.78, 106,742.02 and 21,244.29 is: 31,865.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,163.78 : 106,742.02 = 21,244.29 : x
  2. Step 2: Convert to fraction form
    71,163.78/106,742.02 = 21,244.29/x
  3. Step 3: Cross multiply
    71,163.78x = 106,742.02 × 21,244.29
  4. Step 4: Simplify right side
    71,163.78x = 2,267,658,014.51
  5. Step 5: Solve for x
    x = 2,267,658,014.51/71,163.78
  6. Step 6: Final answer
    x = 31,865.34

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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.