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Finding the Fourth Proportional to 57,239.87, 78,988.97 and 31,747.34

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Solution

The fourth proportional to 57,239.87, 78,988.97 and 31,747.34 is: 43,810.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,239.87 : 78,988.97 = 31,747.34 : x
  2. Step 2: Convert to fraction form
    57,239.87/78,988.97 = 31,747.34/x
  3. Step 3: Cross multiply
    57,239.87x = 78,988.97 × 31,747.34
  4. Step 4: Simplify right side
    57,239.87x = 2,507,689,963.68
  5. Step 5: Solve for x
    x = 2,507,689,963.68/57,239.87
  6. Step 6: Final answer
    x = 43,810.20

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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.