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Finding the Fourth Proportional to 300,102.87, 414,095.97 and 172,753.86

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Solution

The fourth proportional to 300,102.87, 414,095.97 and 172,753.86 is: 238,373.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,102.87 : 414,095.97 = 172,753.86 : x
  2. Step 2: Convert to fraction form
    300,102.87/414,095.97 = 172,753.86/x
  3. Step 3: Cross multiply
    300,102.87x = 414,095.97 × 172,753.86
  4. Step 4: Simplify right side
    300,102.87x = 71,536,677,227.94
  5. Step 5: Solve for x
    x = 71,536,677,227.94/300,102.87
  6. Step 6: Final answer
    x = 238,373.85

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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.