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Finding the Fourth Proportional to 91,644, 126,468.72 and 51,900

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Solution

The fourth proportional to 91,644, 126,468.72 and 51,900 is: 71,622

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,644 : 126,468.72 = 51,900 : x
  2. Step 2: Convert to fraction form
    91,644/126,468.72 = 51,900/x
  3. Step 3: Cross multiply
    91,644x = 126,468.72 × 51,900
  4. Step 4: Simplify right side
    91,644x = 6,563,726,568
  5. Step 5: Solve for x
    x = 6,563,726,568/91,644
  6. Step 6: Final answer
    x = 71,622

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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.