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Finding the Fourth Proportional to 51,967.70, 71,734.78 and 40,459.76

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Solution

The fourth proportional to 51,967.70, 71,734.78 and 40,459.76 is: 55,849.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,967.70 : 71,734.78 = 40,459.76 : x
  2. Step 2: Convert to fraction form
    51,967.70/71,734.78 = 40,459.76/x
  3. Step 3: Cross multiply
    51,967.70x = 71,734.78 × 40,459.76
  4. Step 4: Simplify right side
    51,967.70x = 2,902,371,982.45
  5. Step 5: Solve for x
    x = 2,902,371,982.45/51,967.70
  6. Step 6: Final answer
    x = 55,849.54

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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.