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Finding the Fourth Proportional to 273,103.52, 409,654.96 and 86,115

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Solution

The fourth proportional to 273,103.52, 409,654.96 and 86,115 is: 129,172.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,103.52 : 409,654.96 = 86,115 : x
  2. Step 2: Convert to fraction form
    273,103.52/409,654.96 = 86,115/x
  3. Step 3: Cross multiply
    273,103.52x = 409,654.96 × 86,115
  4. Step 4: Simplify right side
    273,103.52x = 35,277,436,880.40
  5. Step 5: Solve for x
    x = 35,277,436,880.40/273,103.52
  6. Step 6: Final answer
    x = 129,172.40

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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.