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Finding the Fourth Proportional to 221,133.48, 305,164.29 and 125,640.30

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Solution

The fourth proportional to 221,133.48, 305,164.29 and 125,640.30 is: 173,383.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,133.48 : 305,164.29 = 125,640.30 : x
  2. Step 2: Convert to fraction form
    221,133.48/305,164.29 = 125,640.30/x
  3. Step 3: Cross multiply
    221,133.48x = 305,164.29 × 125,640.30
  4. Step 4: Simplify right side
    221,133.48x = 38,340,932,944.89
  5. Step 5: Solve for x
    x = 38,340,932,944.89/221,133.48
  6. Step 6: Final answer
    x = 173,383.66

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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.