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Finding the Fourth Proportional to 81,862.59, 122,793.48 and 70,735.42

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Solution

The fourth proportional to 81,862.59, 122,793.48 and 70,735.42 is: 106,102.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,862.59 : 122,793.48 = 70,735.42 : x
  2. Step 2: Convert to fraction form
    81,862.59/122,793.48 = 70,735.42/x
  3. Step 3: Cross multiply
    81,862.59x = 122,793.48 × 70,735.42
  4. Step 4: Simplify right side
    81,862.59x = 8,685,848,074.08
  5. Step 5: Solve for x
    x = 8,685,848,074.08/81,862.59
  6. Step 6: Final answer
    x = 106,102.78

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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.