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Finding the Fourth Proportional to 82,331.40, 123,496.74 and 20,002.08

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Solution

The fourth proportional to 82,331.40, 123,496.74 and 20,002.08 is: 30,003.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,331.40 : 123,496.74 = 20,002.08 : x
  2. Step 2: Convert to fraction form
    82,331.40/123,496.74 = 20,002.08/x
  3. Step 3: Cross multiply
    82,331.40x = 123,496.74 × 20,002.08
  4. Step 4: Simplify right side
    82,331.40x = 2,470,191,673.22
  5. Step 5: Solve for x
    x = 2,470,191,673.22/82,331.40
  6. Step 6: Final answer
    x = 30,003.03

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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.