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Finding the Fourth Proportional to 57,954.70, 86,932.05 and 31,645.09

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Solution

The fourth proportional to 57,954.70, 86,932.05 and 31,645.09 is: 47,467.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,954.70 : 86,932.05 = 31,645.09 : x
  2. Step 2: Convert to fraction form
    57,954.70/86,932.05 = 31,645.09/x
  3. Step 3: Cross multiply
    57,954.70x = 86,932.05 × 31,645.09
  4. Step 4: Simplify right side
    57,954.70x = 2,750,971,953.25
  5. Step 5: Solve for x
    x = 2,750,971,953.25/57,954.70
  6. Step 6: Final answer
    x = 47,467.63

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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.