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Finding the Fourth Proportional to 107,718.48, 161,435.16 and 82,662.78

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Solution

The fourth proportional to 107,718.48, 161,435.16 and 82,662.78 is: 123,884.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,718.48 : 161,435.16 = 82,662.78 : x
  2. Step 2: Convert to fraction form
    107,718.48/161,435.16 = 82,662.78/x
  3. Step 3: Cross multiply
    107,718.48x = 161,435.16 × 82,662.78
  4. Step 4: Simplify right side
    107,718.48x = 13,344,679,115.34
  5. Step 5: Solve for x
    x = 13,344,679,115.34/107,718.48
  6. Step 6: Final answer
    x = 123,884.77

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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.