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Finding the Fourth Proportional to 57,706, 79,634.30 and 31,210

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Solution

The fourth proportional to 57,706, 79,634.30 and 31,210 is: 43,069.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,706 : 79,634.30 = 31,210 : x
  2. Step 2: Convert to fraction form
    57,706/79,634.30 = 31,210/x
  3. Step 3: Cross multiply
    57,706x = 79,634.30 × 31,210
  4. Step 4: Simplify right side
    57,706x = 2,485,386,503
  5. Step 5: Solve for x
    x = 2,485,386,503/57,706
  6. Step 6: Final answer
    x = 43,069.81

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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.