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Finding the Fourth Proportional to 73,402.50, 110,109.24 and 20,816.22

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Solution

The fourth proportional to 73,402.50, 110,109.24 and 20,816.22 is: 31,225.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,402.50 : 110,109.24 = 20,816.22 : x
  2. Step 2: Convert to fraction form
    73,402.50/110,109.24 = 20,816.22/x
  3. Step 3: Cross multiply
    73,402.50x = 110,109.24 × 20,816.22
  4. Step 4: Simplify right side
    73,402.50x = 2,292,058,163.87
  5. Step 5: Solve for x
    x = 2,292,058,163.87/73,402.50
  6. Step 6: Final answer
    x = 31,225.89

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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.