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Finding the Fourth Proportional to 39,072.68, 53,918.16 and 22,078.88

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Solution

The fourth proportional to 39,072.68, 53,918.16 and 22,078.88 is: 30,467.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,072.68 : 53,918.16 = 22,078.88 : x
  2. Step 2: Convert to fraction form
    39,072.68/53,918.16 = 22,078.88/x
  3. Step 3: Cross multiply
    39,072.68x = 53,918.16 × 22,078.88
  4. Step 4: Simplify right side
    39,072.68x = 1,190,452,584.46
  5. Step 5: Solve for x
    x = 1,190,452,584.46/39,072.68
  6. Step 6: Final answer
    x = 30,467.65

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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.