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Finding the Fourth Proportional to 84,992.62, 127,431.41 and 47,578.52

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Solution

The fourth proportional to 84,992.62, 127,431.41 and 47,578.52 is: 71,335.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,992.62 : 127,431.41 = 47,578.52 : x
  2. Step 2: Convert to fraction form
    84,992.62/127,431.41 = 47,578.52/x
  3. Step 3: Cross multiply
    84,992.62x = 127,431.41 × 47,578.52
  4. Step 4: Simplify right side
    84,992.62x = 6,062,997,371.10
  5. Step 5: Solve for x
    x = 6,062,997,371.10/84,992.62
  6. Step 6: Final answer
    x = 71,335.58

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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.