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Finding the Fourth Proportional to 57,708, 79,637.04 and 31,212

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Solution

The fourth proportional to 57,708, 79,637.04 and 31,212 is: 43,072.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,708 : 79,637.04 = 31,212 : x
  2. Step 2: Convert to fraction form
    57,708/79,637.04 = 31,212/x
  3. Step 3: Cross multiply
    57,708x = 79,637.04 × 31,212
  4. Step 4: Simplify right side
    57,708x = 2,485,631,292.48
  5. Step 5: Solve for x
    x = 2,485,631,292.48/57,708
  6. Step 6: Final answer
    x = 43,072.56

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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.