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Finding the Fourth Proportional to 225,615.34, 311,357.74 and 128,834.96

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Solution

The fourth proportional to 225,615.34, 311,357.74 and 128,834.96 is: 177,797.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,615.34 : 311,357.74 = 128,834.96 : x
  2. Step 2: Convert to fraction form
    225,615.34/311,357.74 = 128,834.96/x
  3. Step 3: Cross multiply
    225,615.34x = 311,357.74 × 128,834.96
  4. Step 4: Simplify right side
    225,615.34x = 40,113,761,978.59
  5. Step 5: Solve for x
    x = 40,113,761,978.59/225,615.34
  6. Step 6: Final answer
    x = 177,797.14

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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.