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Finding the Fourth Proportional to 66,940.98, 100,346.18 and 31,871.22

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Solution

The fourth proportional to 66,940.98, 100,346.18 and 31,871.22 is: 47,775.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,940.98 : 100,346.18 = 31,871.22 : x
  2. Step 2: Convert to fraction form
    66,940.98/100,346.18 = 31,871.22/x
  3. Step 3: Cross multiply
    66,940.98x = 100,346.18 × 31,871.22
  4. Step 4: Simplify right side
    66,940.98x = 3,198,155,178.94
  5. Step 5: Solve for x
    x = 3,198,155,178.94/66,940.98
  6. Step 6: Final answer
    x = 47,775.74

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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.