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Finding the Fourth Proportional to 82,031.41, 122,908.60 and 50,375.50

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Solution

The fourth proportional to 82,031.41, 122,908.60 and 50,375.50 is: 75,478.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,031.41 : 122,908.60 = 50,375.50 : x
  2. Step 2: Convert to fraction form
    82,031.41/122,908.60 = 50,375.50/x
  3. Step 3: Cross multiply
    82,031.41x = 122,908.60 × 50,375.50
  4. Step 4: Simplify right side
    82,031.41x = 6,191,581,935.00
  5. Step 5: Solve for x
    x = 6,191,581,935.00/82,031.41
  6. Step 6: Final answer
    x = 75,478.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.