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Finding the Fourth Proportional to 86,200.83, 118,949.45 and 47,959.11

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Solution

The fourth proportional to 86,200.83, 118,949.45 and 47,959.11 is: 66,179.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,200.83 : 118,949.45 = 47,959.11 : x
  2. Step 2: Convert to fraction form
    86,200.83/118,949.45 = 47,959.11/x
  3. Step 3: Cross multiply
    86,200.83x = 118,949.45 × 47,959.11
  4. Step 4: Simplify right side
    86,200.83x = 5,704,709,517.19
  5. Step 5: Solve for x
    x = 5,704,709,517.19/86,200.83
  6. Step 6: Final answer
    x = 66,179.29

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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.