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Finding the Fourth Proportional to 50,815.70, 76,114.20 and 42,067.70

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Solution

The fourth proportional to 50,815.70, 76,114.20 and 42,067.70 is: 63,011.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,815.70 : 76,114.20 = 42,067.70 : x
  2. Step 2: Convert to fraction form
    50,815.70/76,114.20 = 42,067.70/x
  3. Step 3: Cross multiply
    50,815.70x = 76,114.20 × 42,067.70
  4. Step 4: Simplify right side
    50,815.70x = 3,201,949,331.34
  5. Step 5: Solve for x
    x = 3,201,949,331.34/50,815.70
  6. Step 6: Final answer
    x = 63,011.02

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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.