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Finding the Fourth Proportional to 221,672.34, 305,908.19 and 126,179.06

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Solution

The fourth proportional to 221,672.34, 305,908.19 and 126,179.06 is: 174,127.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,672.34 : 305,908.19 = 126,179.06 : x
  2. Step 2: Convert to fraction form
    221,672.34/305,908.19 = 126,179.06/x
  3. Step 3: Cross multiply
    221,672.34x = 305,908.19 × 126,179.06
  4. Step 4: Simplify right side
    221,672.34x = 38,599,205,700.07
  5. Step 5: Solve for x
    x = 38,599,205,700.07/221,672.34
  6. Step 6: Final answer
    x = 174,127.30

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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.