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Finding the Fourth Proportional to 72,652.20, 100,247.34 and 40,822.44

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Solution

The fourth proportional to 72,652.20, 100,247.34 and 40,822.44 is: 56,327.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,652.20 : 100,247.34 = 40,822.44 : x
  2. Step 2: Convert to fraction form
    72,652.20/100,247.34 = 40,822.44/x
  3. Step 3: Cross multiply
    72,652.20x = 100,247.34 × 40,822.44
  4. Step 4: Simplify right side
    72,652.20x = 4,092,341,022.31
  5. Step 5: Solve for x
    x = 4,092,341,022.31/72,652.20
  6. Step 6: Final answer
    x = 56,327.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.