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Finding the Fourth Proportional to 66,871.72, 100,241.61 and 31,835.98

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Solution

The fourth proportional to 66,871.72, 100,241.61 and 31,835.98 is: 47,722.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,871.72 : 100,241.61 = 31,835.98 : x
  2. Step 2: Convert to fraction form
    66,871.72/100,241.61 = 31,835.98/x
  3. Step 3: Cross multiply
    66,871.72x = 100,241.61 × 31,835.98
  4. Step 4: Simplify right side
    66,871.72x = 3,191,289,891.13
  5. Step 5: Solve for x
    x = 3,191,289,891.13/66,871.72
  6. Step 6: Final answer
    x = 47,722.56

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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.