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Finding the Fourth Proportional to 72,268.80, 99,722.24 and 40,435.20

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Solution

The fourth proportional to 72,268.80, 99,722.24 and 40,435.20 is: 55,795.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,268.80 : 99,722.24 = 40,435.20 : x
  2. Step 2: Convert to fraction form
    72,268.80/99,722.24 = 40,435.20/x
  3. Step 3: Cross multiply
    72,268.80x = 99,722.24 × 40,435.20
  4. Step 4: Simplify right side
    72,268.80x = 4,032,288,718.85
  5. Step 5: Solve for x
    x = 4,032,288,718.85/72,268.80
  6. Step 6: Final answer
    x = 55,795.71

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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.