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Finding the Fourth Proportional to 57,209.69, 78,954.03 and 31,724.04

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Solution

The fourth proportional to 57,209.69, 78,954.03 and 31,724.04 is: 43,781.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,209.69 : 78,954.03 = 31,724.04 : x
  2. Step 2: Convert to fraction form
    57,209.69/78,954.03 = 31,724.04/x
  3. Step 3: Cross multiply
    57,209.69x = 78,954.03 × 31,724.04
  4. Step 4: Simplify right side
    57,209.69x = 2,504,740,946.32
  5. Step 5: Solve for x
    x = 2,504,740,946.32/57,209.69
  6. Step 6: Final answer
    x = 43,781.76

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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.