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Finding the Fourth Proportional to 281,321.93, 422,008.72 and 91,733.65

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Solution

The fourth proportional to 281,321.93, 422,008.72 and 91,733.65 is: 137,608.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,321.93 : 422,008.72 = 91,733.65 : x
  2. Step 2: Convert to fraction form
    281,321.93/422,008.72 = 91,733.65/x
  3. Step 3: Cross multiply
    281,321.93x = 422,008.72 × 91,733.65
  4. Step 4: Simplify right side
    281,321.93x = 38,712,398,933.07
  5. Step 5: Solve for x
    x = 38,712,398,933.07/281,321.93
  6. Step 6: Final answer
    x = 137,608.89

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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.