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Finding the Fourth Proportional to 39,978.36, 55,171.92 and 22,988.12

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Solution

The fourth proportional to 39,978.36, 55,171.92 and 22,988.12 is: 31,724.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,978.36 : 55,171.92 = 22,988.12 : x
  2. Step 2: Convert to fraction form
    39,978.36/55,171.92 = 22,988.12/x
  3. Step 3: Cross multiply
    39,978.36x = 55,171.92 × 22,988.12
  4. Step 4: Simplify right side
    39,978.36x = 1,268,298,441.73
  5. Step 5: Solve for x
    x = 1,268,298,441.73/39,978.36
  6. Step 6: Final answer
    x = 31,724.62

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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.