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Finding the Fourth Proportional to 57,876, 79,869.36 and 31,380

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Solution

The fourth proportional to 57,876, 79,869.36 and 31,380 is: 43,304.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,876 : 79,869.36 = 31,380 : x
  2. Step 2: Convert to fraction form
    57,876/79,869.36 = 31,380/x
  3. Step 3: Cross multiply
    57,876x = 79,869.36 × 31,380
  4. Step 4: Simplify right side
    57,876x = 2,506,300,516.80
  5. Step 5: Solve for x
    x = 2,506,300,516.80/57,876
  6. Step 6: Final answer
    x = 43,304.66

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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.