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Finding the Fourth Proportional to 57,707, 79,635.68 and 31,211

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Solution

The fourth proportional to 57,707, 79,635.68 and 31,211 is: 43,071.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,707 : 79,635.68 = 31,211 : x
  2. Step 2: Convert to fraction form
    57,707/79,635.68 = 31,211/x
  3. Step 3: Cross multiply
    57,707x = 79,635.68 × 31,211
  4. Step 4: Simplify right side
    57,707x = 2,485,509,208.48
  5. Step 5: Solve for x
    x = 2,485,509,208.48/57,707
  6. Step 6: Final answer
    x = 43,071.19

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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.