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Finding the Fourth Proportional to 72,471.48, 100,015.77 and 40,216.43

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Solution

The fourth proportional to 72,471.48, 100,015.77 and 40,216.43 is: 55,501.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,471.48 : 100,015.77 = 40,216.43 : x
  2. Step 2: Convert to fraction form
    72,471.48/100,015.77 = 40,216.43/x
  3. Step 3: Cross multiply
    72,471.48x = 100,015.77 × 40,216.43
  4. Step 4: Simplify right side
    72,471.48x = 4,022,277,213.10
  5. Step 5: Solve for x
    x = 4,022,277,213.10/72,471.48
  6. Step 6: Final answer
    x = 55,501.52

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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.