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Finding the Fourth Proportional to 57,471.63, 79,314.41 and 31,983.68

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Solution

The fourth proportional to 57,471.63, 79,314.41 and 31,983.68 is: 44,139.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,471.63 : 79,314.41 = 31,983.68 : x
  2. Step 2: Convert to fraction form
    57,471.63/79,314.41 = 31,983.68/x
  3. Step 3: Cross multiply
    57,471.63x = 79,314.41 × 31,983.68
  4. Step 4: Simplify right side
    57,471.63x = 2,536,766,152.34
  5. Step 5: Solve for x
    x = 2,536,766,152.34/57,471.63
  6. Step 6: Final answer
    x = 44,139.45

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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.