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Finding the Fourth Proportional to 203,117.94, 280,333.71 and 126,649.50

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Solution

The fourth proportional to 203,117.94, 280,333.71 and 126,649.50 is: 174,795.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,117.94 : 280,333.71 = 126,649.50 : x
  2. Step 2: Convert to fraction form
    203,117.94/280,333.71 = 126,649.50/x
  3. Step 3: Cross multiply
    203,117.94x = 280,333.71 × 126,649.50
  4. Step 4: Simplify right side
    203,117.94x = 35,504,124,204.65
  5. Step 5: Solve for x
    x = 35,504,124,204.65/203,117.94
  6. Step 6: Final answer
    x = 174,795.61

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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.