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Finding the Fourth Proportional to 57,983.57, 87,008.81 and 31,329.64

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Solution

The fourth proportional to 57,983.57, 87,008.81 and 31,329.64 is: 47,012.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,983.57 : 87,008.81 = 31,329.64 : x
  2. Step 2: Convert to fraction form
    57,983.57/87,008.81 = 31,329.64/x
  3. Step 3: Cross multiply
    57,983.57x = 87,008.81 × 31,329.64
  4. Step 4: Simplify right side
    57,983.57x = 2,725,954,244.93
  5. Step 5: Solve for x
    x = 2,725,954,244.93/57,983.57
  6. Step 6: Final answer
    x = 47,012.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.