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Finding the Fourth Proportional to 69,392, 95,760.96 and 39,584

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Solution

The fourth proportional to 69,392, 95,760.96 and 39,584 is: 54,625.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,392 : 95,760.96 = 39,584 : x
  2. Step 2: Convert to fraction form
    69,392/95,760.96 = 39,584/x
  3. Step 3: Cross multiply
    69,392x = 95,760.96 × 39,584
  4. Step 4: Simplify right side
    69,392x = 3,790,601,840.64
  5. Step 5: Solve for x
    x = 3,790,601,840.64/69,392
  6. Step 6: Final answer
    x = 54,625.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.