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Finding the Fourth Proportional to 100,446.54, 138,580.79 and 61,671.03

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Solution

The fourth proportional to 100,446.54, 138,580.79 and 61,671.03 is: 85,084.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,446.54 : 138,580.79 = 61,671.03 : x
  2. Step 2: Convert to fraction form
    100,446.54/138,580.79 = 61,671.03/x
  3. Step 3: Cross multiply
    100,446.54x = 138,580.79 × 61,671.03
  4. Step 4: Simplify right side
    100,446.54x = 8,546,419,576.38
  5. Step 5: Solve for x
    x = 8,546,419,576.38/100,446.54
  6. Step 6: Final answer
    x = 85,084.26

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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.