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Finding the Fourth Proportional to 71,040.96, 106,459.74 and 52,173

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Solution

The fourth proportional to 71,040.96, 106,459.74 and 52,173 is: 78,184.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,040.96 : 106,459.74 = 52,173 : x
  2. Step 2: Convert to fraction form
    71,040.96/106,459.74 = 52,173/x
  3. Step 3: Cross multiply
    71,040.96x = 106,459.74 × 52,173
  4. Step 4: Simplify right side
    71,040.96x = 5,554,324,015.02
  5. Step 5: Solve for x
    x = 5,554,324,015.02/71,040.96
  6. Step 6: Final answer
    x = 78,184.81

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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.