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Finding the Fourth Proportional to 57,758, 79,706.28 and 31,262

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Solution

The fourth proportional to 57,758, 79,706.28 and 31,262 is: 43,141.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,758 : 79,706.28 = 31,262 : x
  2. Step 2: Convert to fraction form
    57,758/79,706.28 = 31,262/x
  3. Step 3: Cross multiply
    57,758x = 79,706.28 × 31,262
  4. Step 4: Simplify right side
    57,758x = 2,491,777,725.36
  5. Step 5: Solve for x
    x = 2,491,777,725.36/57,758
  6. Step 6: Final answer
    x = 43,141.69

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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.