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Finding the Fourth Proportional to 215,858.50, 297,884.73 and 126,434.50

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Solution

The fourth proportional to 215,858.50, 297,884.73 and 126,434.50 is: 174,479.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,858.50 : 297,884.73 = 126,434.50 : x
  2. Step 2: Convert to fraction form
    215,858.50/297,884.73 = 126,434.50/x
  3. Step 3: Cross multiply
    215,858.50x = 297,884.73 × 126,434.50
  4. Step 4: Simplify right side
    215,858.50x = 37,662,906,895.19
  5. Step 5: Solve for x
    x = 37,662,906,895.19/215,858.50
  6. Step 6: Final answer
    x = 174,479.61

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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.