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Finding the Fourth Proportional to 57,892.50, 79,891.65 and 31,396.50

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Solution

The fourth proportional to 57,892.50, 79,891.65 and 31,396.50 is: 43,327.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,892.50 : 79,891.65 = 31,396.50 : x
  2. Step 2: Convert to fraction form
    57,892.50/79,891.65 = 31,396.50/x
  3. Step 3: Cross multiply
    57,892.50x = 79,891.65 × 31,396.50
  4. Step 4: Simplify right side
    57,892.50x = 2,508,318,189.23
  5. Step 5: Solve for x
    x = 2,508,318,189.23/57,892.50
  6. Step 6: Final answer
    x = 43,327.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.