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Finding the Fourth Proportional to 57,243.42, 79,000.77 and 31,758

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Solution

The fourth proportional to 57,243.42, 79,000.77 and 31,758 is: 43,828.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,243.42 : 79,000.77 = 31,758 : x
  2. Step 2: Convert to fraction form
    57,243.42/79,000.77 = 31,758/x
  3. Step 3: Cross multiply
    57,243.42x = 79,000.77 × 31,758
  4. Step 4: Simplify right side
    57,243.42x = 2,508,906,453.66
  5. Step 5: Solve for x
    x = 2,508,906,453.66/57,243.42
  6. Step 6: Final answer
    x = 43,828.73

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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.