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Finding the Fourth Proportional to 86,137.72, 118,874 and 47,901.20

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Solution

The fourth proportional to 86,137.72, 118,874 and 47,901.20 is: 66,105.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,137.72 : 118,874 = 47,901.20 : x
  2. Step 2: Convert to fraction form
    86,137.72/118,874 = 47,901.20/x
  3. Step 3: Cross multiply
    86,137.72x = 118,874 × 47,901.20
  4. Step 4: Simplify right side
    86,137.72x = 5,694,207,248.80
  5. Step 5: Solve for x
    x = 5,694,207,248.80/86,137.72
  6. Step 6: Final answer
    x = 66,105.85

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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.