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Finding the Fourth Proportional to 61,825.75, 85,322.84 and 39,156.41

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Solution

The fourth proportional to 61,825.75, 85,322.84 and 39,156.41 is: 54,037.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,825.75 : 85,322.84 = 39,156.41 : x
  2. Step 2: Convert to fraction form
    61,825.75/85,322.84 = 39,156.41/x
  3. Step 3: Cross multiply
    61,825.75x = 85,322.84 × 39,156.41
  4. Step 4: Simplify right side
    61,825.75x = 3,340,936,122.93
  5. Step 5: Solve for x
    x = 3,340,936,122.93/61,825.75
  6. Step 6: Final answer
    x = 54,037.94

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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.