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Finding the Fourth Proportional to 71,856.45, 107,735.01 and 31,853.58

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Solution

The fourth proportional to 71,856.45, 107,735.01 and 31,853.58 is: 47,758.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,856.45 : 107,735.01 = 31,853.58 : x
  2. Step 2: Convert to fraction form
    71,856.45/107,735.01 = 31,853.58/x
  3. Step 3: Cross multiply
    71,856.45x = 107,735.01 × 31,853.58
  4. Step 4: Simplify right side
    71,856.45x = 3,431,745,759.84
  5. Step 5: Solve for x
    x = 3,431,745,759.84/71,856.45
  6. Step 6: Final answer
    x = 47,758.35

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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.