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Finding the Fourth Proportional to 72,515.36, 108,743.52 and 22,578.68

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Solution

The fourth proportional to 72,515.36, 108,743.52 and 22,578.68 is: 33,858.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,515.36 : 108,743.52 = 22,578.68 : x
  2. Step 2: Convert to fraction form
    72,515.36/108,743.52 = 22,578.68/x
  3. Step 3: Cross multiply
    72,515.36x = 108,743.52 × 22,578.68
  4. Step 4: Simplify right side
    72,515.36x = 2,455,285,140.15
  5. Step 5: Solve for x
    x = 2,455,285,140.15/72,515.36
  6. Step 6: Final answer
    x = 33,858.83

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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.