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Finding the Fourth Proportional to 84,109.22, 126,186.51 and 27,958.40

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Solution

The fourth proportional to 84,109.22, 126,186.51 and 27,958.40 is: 41,945.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,109.22 : 126,186.51 = 27,958.40 : x
  2. Step 2: Convert to fraction form
    84,109.22/126,186.51 = 27,958.40/x
  3. Step 3: Cross multiply
    84,109.22x = 126,186.51 × 27,958.40
  4. Step 4: Simplify right side
    84,109.22x = 3,527,972,921.18
  5. Step 5: Solve for x
    x = 3,527,972,921.18/84,109.22
  6. Step 6: Final answer
    x = 41,945.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.