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Finding the Fourth Proportional to 221,666.58, 305,901.90 and 126,179.46

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Solution

The fourth proportional to 221,666.58, 305,901.90 and 126,179.46 is: 174,128.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,666.58 : 305,901.90 = 126,179.46 : x
  2. Step 2: Convert to fraction form
    221,666.58/305,901.90 = 126,179.46/x
  3. Step 3: Cross multiply
    221,666.58x = 305,901.90 × 126,179.46
  4. Step 4: Simplify right side
    221,666.58x = 38,598,536,554.97
  5. Step 5: Solve for x
    x = 38,598,536,554.97/221,666.58
  6. Step 6: Final answer
    x = 174,128.80

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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.