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Finding the Fourth Proportional to 91,207.82, 125,853.94 and 50,916

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Solution

The fourth proportional to 91,207.82, 125,853.94 and 50,916 is: 70,256.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,207.82 : 125,853.94 = 50,916 : x
  2. Step 2: Convert to fraction form
    91,207.82/125,853.94 = 50,916/x
  3. Step 3: Cross multiply
    91,207.82x = 125,853.94 × 50,916
  4. Step 4: Simplify right side
    91,207.82x = 6,407,979,209.04
  5. Step 5: Solve for x
    x = 6,407,979,209.04/91,207.82
  6. Step 6: Final answer
    x = 70,256.91

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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.