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Finding the Fourth Proportional to 82,433.79, 123,577.74 and 40,290.30

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Solution

The fourth proportional to 82,433.79, 123,577.74 and 40,290.30 is: 60,399.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,433.79 : 123,577.74 = 40,290.30 : x
  2. Step 2: Convert to fraction form
    82,433.79/123,577.74 = 40,290.30/x
  3. Step 3: Cross multiply
    82,433.79x = 123,577.74 × 40,290.30
  4. Step 4: Simplify right side
    82,433.79x = 4,978,984,217.92
  5. Step 5: Solve for x
    x = 4,978,984,217.92/82,433.79
  6. Step 6: Final answer
    x = 60,399.80

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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.