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Finding the Fourth Proportional to 71,425.35, 107,133.76 and 31,971.87

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Solution

The fourth proportional to 71,425.35, 107,133.76 and 31,971.87 is: 47,955.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,425.35 : 107,133.76 = 31,971.87 : x
  2. Step 2: Convert to fraction form
    71,425.35/107,133.76 = 31,971.87/x
  3. Step 3: Cross multiply
    71,425.35x = 107,133.76 × 31,971.87
  4. Step 4: Simplify right side
    71,425.35x = 3,425,266,647.33
  5. Step 5: Solve for x
    x = 3,425,266,647.33/71,425.35
  6. Step 6: Final answer
    x = 47,955.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.