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Finding the Fourth Proportional to 51,679.89, 71,326.05 and 31,548.49

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Solution

The fourth proportional to 51,679.89, 71,326.05 and 31,548.49 is: 43,541.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,679.89 : 71,326.05 = 31,548.49 : x
  2. Step 2: Convert to fraction form
    51,679.89/71,326.05 = 31,548.49/x
  3. Step 3: Cross multiply
    51,679.89x = 71,326.05 × 31,548.49
  4. Step 4: Simplify right side
    51,679.89x = 2,250,229,175.16
  5. Step 5: Solve for x
    x = 2,250,229,175.16/51,679.89
  6. Step 6: Final answer
    x = 43,541.68

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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.