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Finding the Fourth Proportional to 72,909.21, 109,363.87 and 41,722.59

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Solution

The fourth proportional to 72,909.21, 109,363.87 and 41,722.59 is: 62,583.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,909.21 : 109,363.87 = 41,722.59 : x
  2. Step 2: Convert to fraction form
    72,909.21/109,363.87 = 41,722.59/x
  3. Step 3: Cross multiply
    72,909.21x = 109,363.87 × 41,722.59
  4. Step 4: Simplify right side
    72,909.21x = 4,562,944,371.09
  5. Step 5: Solve for x
    x = 4,562,944,371.09/72,909.21
  6. Step 6: Final answer
    x = 62,583.92

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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.