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Finding the Fourth Proportional to 71,163.16, 106,763.23 and 21,243.26

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Solution

The fourth proportional to 71,163.16, 106,763.23 and 21,243.26 is: 31,870.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,163.16 : 106,763.23 = 21,243.26 : x
  2. Step 2: Convert to fraction form
    71,163.16/106,763.23 = 21,243.26/x
  3. Step 3: Cross multiply
    71,163.16x = 106,763.23 × 21,243.26
  4. Step 4: Simplify right side
    71,163.16x = 2,267,999,346.79
  5. Step 5: Solve for x
    x = 2,267,999,346.79/71,163.16
  6. Step 6: Final answer
    x = 31,870.41

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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.