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Finding the Fourth Proportional to 72,909, 109,363.50 and 23,661

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Solution

The fourth proportional to 72,909, 109,363.50 and 23,661 is: 35,491.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,909 : 109,363.50 = 23,661 : x
  2. Step 2: Convert to fraction form
    72,909/109,363.50 = 23,661/x
  3. Step 3: Cross multiply
    72,909x = 109,363.50 × 23,661
  4. Step 4: Simplify right side
    72,909x = 2,587,649,773.50
  5. Step 5: Solve for x
    x = 2,587,649,773.50/72,909
  6. Step 6: Final answer
    x = 35,491.50

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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.