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Finding the Fourth Proportional to 225,640.98, 311,373.87 and 135,046.86

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Solution

The fourth proportional to 225,640.98, 311,373.87 and 135,046.86 is: 186,358.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,640.98 : 311,373.87 = 135,046.86 : x
  2. Step 2: Convert to fraction form
    225,640.98/311,373.87 = 135,046.86/x
  3. Step 3: Cross multiply
    225,640.98x = 311,373.87 × 135,046.86
  4. Step 4: Simplify right side
    225,640.98x = 42,050,063,429.55
  5. Step 5: Solve for x
    x = 42,050,063,429.55/225,640.98
  6. Step 6: Final answer
    x = 186,358.27

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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.