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Finding the Fourth Proportional to 57,282.92, 79,048.34 and 31,790.40

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Solution

The fourth proportional to 57,282.92, 79,048.34 and 31,790.40 is: 43,869.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,282.92 : 79,048.34 = 31,790.40 : x
  2. Step 2: Convert to fraction form
    57,282.92/79,048.34 = 31,790.40/x
  3. Step 3: Cross multiply
    57,282.92x = 79,048.34 × 31,790.40
  4. Step 4: Simplify right side
    57,282.92x = 2,512,978,347.94
  5. Step 5: Solve for x
    x = 2,512,978,347.94/57,282.92
  6. Step 6: Final answer
    x = 43,869.59

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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.