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Finding the Fourth Proportional to 231,311.40, 347,031.90 and 112,986.60

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Solution

The fourth proportional to 231,311.40, 347,031.90 and 112,986.60 is: 169,511.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,311.40 : 347,031.90 = 112,986.60 : x
  2. Step 2: Convert to fraction form
    231,311.40/347,031.90 = 112,986.60/x
  3. Step 3: Cross multiply
    231,311.40x = 347,031.90 × 112,986.60
  4. Step 4: Simplify right side
    231,311.40x = 39,209,954,472.54
  5. Step 5: Solve for x
    x = 39,209,954,472.54/231,311.40
  6. Step 6: Final answer
    x = 169,511.55

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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.