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Finding the Fourth Proportional to 200,149.68, 300,328.32 and 87,908.88

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Solution

The fourth proportional to 200,149.68, 300,328.32 and 87,908.88 is: 131,908.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,149.68 : 300,328.32 = 87,908.88 : x
  2. Step 2: Convert to fraction form
    200,149.68/300,328.32 = 87,908.88/x
  3. Step 3: Cross multiply
    200,149.68x = 300,328.32 × 87,908.88
  4. Step 4: Simplify right side
    200,149.68x = 26,401,526,243.48
  5. Step 5: Solve for x
    x = 26,401,526,243.48/200,149.68
  6. Step 6: Final answer
    x = 131,908.91

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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.