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Finding the Fourth Proportional to 57,806, 79,772.28 and 31,310

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Solution

The fourth proportional to 57,806, 79,772.28 and 31,310 is: 43,207.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,806 : 79,772.28 = 31,310 : x
  2. Step 2: Convert to fraction form
    57,806/79,772.28 = 31,310/x
  3. Step 3: Cross multiply
    57,806x = 79,772.28 × 31,310
  4. Step 4: Simplify right side
    57,806x = 2,497,670,086.80
  5. Step 5: Solve for x
    x = 2,497,670,086.80/57,806
  6. Step 6: Final answer
    x = 43,207.80

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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.