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Finding the Fourth Proportional to 221,665.88, 305,900.85 and 126,178.71

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Solution

The fourth proportional to 221,665.88, 305,900.85 and 126,178.71 is: 174,127.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,665.88 : 305,900.85 = 126,178.71 : x
  2. Step 2: Convert to fraction form
    221,665.88/305,900.85 = 126,178.71/x
  3. Step 3: Cross multiply
    221,665.88x = 305,900.85 × 126,178.71
  4. Step 4: Simplify right side
    221,665.88x = 38,598,174,640.90
  5. Step 5: Solve for x
    x = 38,598,174,640.90/221,665.88
  6. Step 6: Final answer
    x = 174,127.73

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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.