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Finding the Fourth Proportional to 206,147.98, 309,231.29 and 56,384.92

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Solution

The fourth proportional to 206,147.98, 309,231.29 and 56,384.92 is: 84,579.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,147.98 : 309,231.29 = 56,384.92 : x
  2. Step 2: Convert to fraction form
    206,147.98/309,231.29 = 56,384.92/x
  3. Step 3: Cross multiply
    206,147.98x = 309,231.29 × 56,384.92
  4. Step 4: Simplify right side
    206,147.98x = 17,435,981,548.15
  5. Step 5: Solve for x
    x = 17,435,981,548.15/206,147.98
  6. Step 6: Final answer
    x = 84,579.93

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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.