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Finding the Fourth Proportional to 72,645.28, 108,967.92 and 22,724.32

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Solution

The fourth proportional to 72,645.28, 108,967.92 and 22,724.32 is: 34,086.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,645.28 : 108,967.92 = 22,724.32 : x
  2. Step 2: Convert to fraction form
    72,645.28/108,967.92 = 22,724.32/x
  3. Step 3: Cross multiply
    72,645.28x = 108,967.92 × 22,724.32
  4. Step 4: Simplify right side
    72,645.28x = 2,476,221,883.81
  5. Step 5: Solve for x
    x = 2,476,221,883.81/72,645.28
  6. Step 6: Final answer
    x = 34,086.48

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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.