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Finding the Fourth Proportional to 149,957.20, 206,947.22 and 86,295.28

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Solution

The fourth proportional to 149,957.20, 206,947.22 and 86,295.28 is: 119,091.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,957.20 : 206,947.22 = 86,295.28 : x
  2. Step 2: Convert to fraction form
    149,957.20/206,947.22 = 86,295.28/x
  3. Step 3: Cross multiply
    149,957.20x = 206,947.22 × 86,295.28
  4. Step 4: Simplify right side
    149,957.20x = 17,858,568,295.12
  5. Step 5: Solve for x
    x = 17,858,568,295.12/149,957.20
  6. Step 6: Final answer
    x = 119,091.10

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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.