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Finding the Fourth Proportional to 81,181.96, 121,756.74 and 30,571

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Solution

The fourth proportional to 81,181.96, 121,756.74 and 30,571 is: 45,850.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,181.96 : 121,756.74 = 30,571 : x
  2. Step 2: Convert to fraction form
    81,181.96/121,756.74 = 30,571/x
  3. Step 3: Cross multiply
    81,181.96x = 121,756.74 × 30,571
  4. Step 4: Simplify right side
    81,181.96x = 3,722,225,298.54
  5. Step 5: Solve for x
    x = 3,722,225,298.54/81,181.96
  6. Step 6: Final answer
    x = 45,850.40

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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.