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Finding the Fourth Proportional to 51,856.70, 71,539.89 and 39,901.10

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Solution

The fourth proportional to 51,856.70, 71,539.89 and 39,901.10 is: 55,046.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,856.70 : 71,539.89 = 39,901.10 : x
  2. Step 2: Convert to fraction form
    51,856.70/71,539.89 = 39,901.10/x
  3. Step 3: Cross multiply
    51,856.70x = 71,539.89 × 39,901.10
  4. Step 4: Simplify right side
    51,856.70x = 2,854,520,304.88
  5. Step 5: Solve for x
    x = 2,854,520,304.88/51,856.70
  6. Step 6: Final answer
    x = 55,046.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.