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Finding the Fourth Proportional to 149,850, 206,793.72 and 86,191.56

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Solution

The fourth proportional to 149,850, 206,793.72 and 86,191.56 is: 118,944.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,850 : 206,793.72 = 86,191.56 : x
  2. Step 2: Convert to fraction form
    149,850/206,793.72 = 86,191.56/x
  3. Step 3: Cross multiply
    149,850x = 206,793.72 × 86,191.56
  4. Step 4: Simplify right side
    149,850x = 17,823,873,325.00
  5. Step 5: Solve for x
    x = 17,823,873,325.00/149,850
  6. Step 6: Final answer
    x = 118,944.77

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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.