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Finding the Fourth Proportional to 40,189, 55,460.90 and 22,525

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Solution

The fourth proportional to 40,189, 55,460.90 and 22,525 is: 31,084.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,189 : 55,460.90 = 22,525 : x
  2. Step 2: Convert to fraction form
    40,189/55,460.90 = 22,525/x
  3. Step 3: Cross multiply
    40,189x = 55,460.90 × 22,525
  4. Step 4: Simplify right side
    40,189x = 1,249,256,772.50
  5. Step 5: Solve for x
    x = 1,249,256,772.50/40,189
  6. Step 6: Final answer
    x = 31,084.54

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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.