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Finding the Fourth Proportional to 274,687.62, 412,095.72 and 85,138.08

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Solution

The fourth proportional to 274,687.62, 412,095.72 and 85,138.08 is: 127,727.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,687.62 : 412,095.72 = 85,138.08 : x
  2. Step 2: Convert to fraction form
    274,687.62/412,095.72 = 85,138.08/x
  3. Step 3: Cross multiply
    274,687.62x = 412,095.72 × 85,138.08
  4. Step 4: Simplify right side
    274,687.62x = 35,085,038,377.02
  5. Step 5: Solve for x
    x = 35,085,038,377.02/274,687.62
  6. Step 6: Final answer
    x = 127,727.05

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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.