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Finding the Fourth Proportional to 221,678.76, 305,912.26 and 126,183.40

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Solution

The fourth proportional to 221,678.76, 305,912.26 and 126,183.40 is: 174,130.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,678.76 : 305,912.26 = 126,183.40 : x
  2. Step 2: Convert to fraction form
    221,678.76/305,912.26 = 126,183.40/x
  3. Step 3: Cross multiply
    221,678.76x = 305,912.26 × 126,183.40
  4. Step 4: Simplify right side
    221,678.76x = 38,601,049,068.48
  5. Step 5: Solve for x
    x = 38,601,049,068.48/221,678.76
  6. Step 6: Final answer
    x = 174,130.57

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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.