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Finding the Fourth Proportional to 273,103.31, 409,654.97 and 86,114.81

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Solution

The fourth proportional to 273,103.31, 409,654.97 and 86,114.81 is: 129,172.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,103.31 : 409,654.97 = 86,114.81 : x
  2. Step 2: Convert to fraction form
    273,103.31/409,654.97 = 86,114.81/x
  3. Step 3: Cross multiply
    273,103.31x = 409,654.97 × 86,114.81
  4. Step 4: Simplify right side
    273,103.31x = 35,277,360,823.60
  5. Step 5: Solve for x
    x = 35,277,360,823.60/273,103.31
  6. Step 6: Final answer
    x = 129,172.22

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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.