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Finding the Fourth Proportional to 225,884.42, 311,717.59 and 129,087.16

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Solution

The fourth proportional to 225,884.42, 311,717.59 and 129,087.16 is: 178,138.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,884.42 : 311,717.59 = 129,087.16 : x
  2. Step 2: Convert to fraction form
    225,884.42/311,717.59 = 129,087.16/x
  3. Step 3: Cross multiply
    225,884.42x = 311,717.59 × 129,087.16
  4. Step 4: Simplify right side
    225,884.42x = 40,238,738,415.14
  5. Step 5: Solve for x
    x = 40,238,738,415.14/225,884.42
  6. Step 6: Final answer
    x = 178,138.62

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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.