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Finding the Fourth Proportional to 57,513.78, 86,200.70 and 30,794.09

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Solution

The fourth proportional to 57,513.78, 86,200.70 and 30,794.09 is: 46,153.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,513.78 : 86,200.70 = 30,794.09 : x
  2. Step 2: Convert to fraction form
    57,513.78/86,200.70 = 30,794.09/x
  3. Step 3: Cross multiply
    57,513.78x = 86,200.70 × 30,794.09
  4. Step 4: Simplify right side
    57,513.78x = 2,654,471,528.89
  5. Step 5: Solve for x
    x = 2,654,471,528.89/57,513.78
  6. Step 6: Final answer
    x = 46,153.66

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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.