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Finding the Fourth Proportional to 281,355.75, 422,100.75 and 91,816.47

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Solution

The fourth proportional to 281,355.75, 422,100.75 and 91,816.47 is: 137,746.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,355.75 : 422,100.75 = 91,816.47 : x
  2. Step 2: Convert to fraction form
    281,355.75/422,100.75 = 91,816.47/x
  3. Step 3: Cross multiply
    281,355.75x = 422,100.75 × 91,816.47
  4. Step 4: Simplify right side
    281,355.75x = 38,755,800,006.51
  5. Step 5: Solve for x
    x = 38,755,800,006.51/281,355.75
  6. Step 6: Final answer
    x = 137,746.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.