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Finding the Fourth Proportional to 72,201.86, 99,640.78 and 40,376.42

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Solution

The fourth proportional to 72,201.86, 99,640.78 and 40,376.42 is: 55,720.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,201.86 : 99,640.78 = 40,376.42 : x
  2. Step 2: Convert to fraction form
    72,201.86/99,640.78 = 40,376.42/x
  3. Step 3: Cross multiply
    72,201.86x = 99,640.78 × 40,376.42
  4. Step 4: Simplify right side
    72,201.86x = 4,023,137,982.41
  5. Step 5: Solve for x
    x = 4,023,137,982.41/72,201.86
  6. Step 6: Final answer
    x = 55,720.70

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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.