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Finding the Fourth Proportional to 51,097.80, 76,500.90 and 31,414.80

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Solution

The fourth proportional to 51,097.80, 76,500.90 and 31,414.80 is: 47,032.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,097.80 : 76,500.90 = 31,414.80 : x
  2. Step 2: Convert to fraction form
    51,097.80/76,500.90 = 31,414.80/x
  3. Step 3: Cross multiply
    51,097.80x = 76,500.90 × 31,414.80
  4. Step 4: Simplify right side
    51,097.80x = 2,403,260,473.32
  5. Step 5: Solve for x
    x = 2,403,260,473.32/51,097.80
  6. Step 6: Final answer
    x = 47,032.56

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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.