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Finding the Fourth Proportional to 57,924.48, 79,934.88 and 31,428.48

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Solution

The fourth proportional to 57,924.48, 79,934.88 and 31,428.48 is: 43,370.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,924.48 : 79,934.88 = 31,428.48 : x
  2. Step 2: Convert to fraction form
    57,924.48/79,934.88 = 31,428.48/x
  3. Step 3: Cross multiply
    57,924.48x = 79,934.88 × 31,428.48
  4. Step 4: Simplify right side
    57,924.48x = 2,512,231,777.38
  5. Step 5: Solve for x
    x = 2,512,231,777.38/57,924.48
  6. Step 6: Final answer
    x = 43,370.81

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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.