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Finding the Fourth Proportional to 71,234.88, 106,823.16 and 31,765

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Solution

The fourth proportional to 71,234.88, 106,823.16 and 31,765 is: 47,634.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,234.88 : 106,823.16 = 31,765 : x
  2. Step 2: Convert to fraction form
    71,234.88/106,823.16 = 31,765/x
  3. Step 3: Cross multiply
    71,234.88x = 106,823.16 × 31,765
  4. Step 4: Simplify right side
    71,234.88x = 3,393,237,677.40
  5. Step 5: Solve for x
    x = 3,393,237,677.40/71,234.88
  6. Step 6: Final answer
    x = 47,634.50

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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.