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Finding the Fourth Proportional to 71,902.80, 107,875.80 and 51,166.80

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Solution

The fourth proportional to 71,902.80, 107,875.80 and 51,166.80 is: 76,765.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,902.80 : 107,875.80 = 51,166.80 : x
  2. Step 2: Convert to fraction form
    71,902.80/107,875.80 = 51,166.80/x
  3. Step 3: Cross multiply
    71,902.80x = 107,875.80 × 51,166.80
  4. Step 4: Simplify right side
    71,902.80x = 5,519,659,483.44
  5. Step 5: Solve for x
    x = 5,519,659,483.44/71,902.80
  6. Step 6: Final answer
    x = 76,765.57

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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.