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Finding the Fourth Proportional to 57,354.75, 79,162.21 and 31,869.88

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Solution

The fourth proportional to 57,354.75, 79,162.21 and 31,869.88 is: 43,987.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,354.75 : 79,162.21 = 31,869.88 : x
  2. Step 2: Convert to fraction form
    57,354.75/79,162.21 = 31,869.88/x
  3. Step 3: Cross multiply
    57,354.75x = 79,162.21 × 31,869.88
  4. Step 4: Simplify right side
    57,354.75x = 2,522,889,737.42
  5. Step 5: Solve for x
    x = 2,522,889,737.42/57,354.75
  6. Step 6: Final answer
    x = 43,987.46

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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.