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Finding the Fourth Proportional to 81,562, 122,375.66 and 37,209.64

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Solution

The fourth proportional to 81,562, 122,375.66 and 37,209.64 is: 55,829.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,562 : 122,375.66 = 37,209.64 : x
  2. Step 2: Convert to fraction form
    81,562/122,375.66 = 37,209.64/x
  3. Step 3: Cross multiply
    81,562x = 122,375.66 × 37,209.64
  4. Step 4: Simplify right side
    81,562x = 4,553,554,253.36
  5. Step 5: Solve for x
    x = 4,553,554,253.36/81,562
  6. Step 6: Final answer
    x = 55,829.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.