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Finding the Fourth Proportional to 57,759, 79,707.66 and 31,263

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Solution

The fourth proportional to 57,759, 79,707.66 and 31,263 is: 43,143.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,759 : 79,707.66 = 31,263 : x
  2. Step 2: Convert to fraction form
    57,759/79,707.66 = 31,263/x
  3. Step 3: Cross multiply
    57,759x = 79,707.66 × 31,263
  4. Step 4: Simplify right side
    57,759x = 2,491,900,574.58
  5. Step 5: Solve for x
    x = 2,491,900,574.58/57,759
  6. Step 6: Final answer
    x = 43,143.07

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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.