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Finding the Fourth Proportional to 81,871.56, 122,797.62 and 48,157.74

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Solution

The fourth proportional to 81,871.56, 122,797.62 and 48,157.74 is: 72,230.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,871.56 : 122,797.62 = 48,157.74 : x
  2. Step 2: Convert to fraction form
    81,871.56/122,797.62 = 48,157.74/x
  3. Step 3: Cross multiply
    81,871.56x = 122,797.62 × 48,157.74
  4. Step 4: Simplify right side
    81,871.56x = 5,913,655,856.58
  5. Step 5: Solve for x
    x = 5,913,655,856.58/81,871.56
  6. Step 6: Final answer
    x = 72,230.89

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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.