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Finding the Fourth Proportional to 50,866.72, 76,278.96 and 19,684

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Solution

The fourth proportional to 50,866.72, 76,278.96 and 19,684 is: 29,517.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,866.72 : 76,278.96 = 19,684 : x
  2. Step 2: Convert to fraction form
    50,866.72/76,278.96 = 19,684/x
  3. Step 3: Cross multiply
    50,866.72x = 76,278.96 × 19,684
  4. Step 4: Simplify right side
    50,866.72x = 1,501,475,048.64
  5. Step 5: Solve for x
    x = 1,501,475,048.64/50,866.72
  6. Step 6: Final answer
    x = 29,517.83

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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.