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Finding the Fourth Proportional to 149,980.78, 206,976.75 and 89,540.13

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Solution

The fourth proportional to 149,980.78, 206,976.75 and 89,540.13 is: 123,567.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,980.78 : 206,976.75 = 89,540.13 : x
  2. Step 2: Convert to fraction form
    149,980.78/206,976.75 = 89,540.13/x
  3. Step 3: Cross multiply
    149,980.78x = 206,976.75 × 89,540.13
  4. Step 4: Simplify right side
    149,980.78x = 18,532,725,101.98
  5. Step 5: Solve for x
    x = 18,532,725,101.98/149,980.78
  6. Step 6: Final answer
    x = 123,567.33

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1.5x scale

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.