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Finding the Fourth Proportional to 40,206.78, 55,485 and 23,214.60

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Solution

The fourth proportional to 40,206.78, 55,485 and 23,214.60 is: 32,035.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,206.78 : 55,485 = 23,214.60 : x
  2. Step 2: Convert to fraction form
    40,206.78/55,485 = 23,214.60/x
  3. Step 3: Cross multiply
    40,206.78x = 55,485 × 23,214.60
  4. Step 4: Simplify right side
    40,206.78x = 1,288,062,081
  5. Step 5: Solve for x
    x = 1,288,062,081/40,206.78
  6. Step 6: Final answer
    x = 32,035.94

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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.