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Finding the Fourth Proportional to 57,915, 79,922.70 and 31,419

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Solution

The fourth proportional to 57,915, 79,922.70 and 31,419 is: 43,358.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,915 : 79,922.70 = 31,419 : x
  2. Step 2: Convert to fraction form
    57,915/79,922.70 = 31,419/x
  3. Step 3: Cross multiply
    57,915x = 79,922.70 × 31,419
  4. Step 4: Simplify right side
    57,915x = 2,511,091,311.30
  5. Step 5: Solve for x
    x = 2,511,091,311.30/57,915
  6. Step 6: Final answer
    x = 43,358.22

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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.