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Finding the Fourth Proportional to 225,728.91, 311,516.01 and 128,941.20

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Solution

The fourth proportional to 225,728.91, 311,516.01 and 128,941.20 is: 177,944.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,728.91 : 311,516.01 = 128,941.20 : x
  2. Step 2: Convert to fraction form
    225,728.91/311,516.01 = 128,941.20/x
  3. Step 3: Cross multiply
    225,728.91x = 311,516.01 × 128,941.20
  4. Step 4: Simplify right side
    225,728.91x = 40,167,248,148.61
  5. Step 5: Solve for x
    x = 40,167,248,148.61/225,728.91
  6. Step 6: Final answer
    x = 177,944.63

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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.