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Finding the Fourth Proportional to 72,268.80, 108,419.14 and 21,665.82

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Solution

The fourth proportional to 72,268.80, 108,419.14 and 21,665.82 is: 32,503.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,268.80 : 108,419.14 = 21,665.82 : x
  2. Step 2: Convert to fraction form
    72,268.80/108,419.14 = 21,665.82/x
  3. Step 3: Cross multiply
    72,268.80x = 108,419.14 × 21,665.82
  4. Step 4: Simplify right side
    72,268.80x = 2,348,989,571.79
  5. Step 5: Solve for x
    x = 2,348,989,571.79/72,268.80
  6. Step 6: Final answer
    x = 32,503.51

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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.