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Finding the Fourth Proportional to 206,029.82, 309,174.74 and 87,700.98

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Solution

The fourth proportional to 206,029.82, 309,174.74 and 87,700.98 is: 131,606.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,029.82 : 309,174.74 = 87,700.98 : x
  2. Step 2: Convert to fraction form
    206,029.82/309,174.74 = 87,700.98/x
  3. Step 3: Cross multiply
    206,029.82x = 309,174.74 × 87,700.98
  4. Step 4: Simplify right side
    206,029.82x = 27,114,927,689.25
  5. Step 5: Solve for x
    x = 27,114,927,689.25/206,029.82
  6. Step 6: Final answer
    x = 131,606.81

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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.