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Finding the Fourth Proportional to 221,700.78, 305,949.56 and 126,209.07

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Solution

The fourth proportional to 221,700.78, 305,949.56 and 126,209.07 is: 174,169.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,700.78 : 305,949.56 = 126,209.07 : x
  2. Step 2: Convert to fraction form
    221,700.78/305,949.56 = 126,209.07/x
  3. Step 3: Cross multiply
    221,700.78x = 305,949.56 × 126,209.07
  4. Step 4: Simplify right side
    221,700.78x = 38,613,608,803.46
  5. Step 5: Solve for x
    x = 38,613,608,803.46/221,700.78
  6. Step 6: Final answer
    x = 174,169.93

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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.