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Finding the Fourth Proportional to 57,410.91, 79,228.13 and 31,919.40

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Solution

The fourth proportional to 57,410.91, 79,228.13 and 31,919.40 is: 44,049.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,410.91 : 79,228.13 = 31,919.40 : x
  2. Step 2: Convert to fraction form
    57,410.91/79,228.13 = 31,919.40/x
  3. Step 3: Cross multiply
    57,410.91x = 79,228.13 × 31,919.40
  4. Step 4: Simplify right side
    57,410.91x = 2,528,914,213.13
  5. Step 5: Solve for x
    x = 2,528,914,213.13/57,410.91
  6. Step 6: Final answer
    x = 44,049.37

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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.