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Finding the Fourth Proportional to 206,456.99, 309,648.45 and 56,677.56

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Solution

The fourth proportional to 206,456.99, 309,648.45 and 56,677.56 is: 85,006.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,456.99 : 309,648.45 = 56,677.56 : x
  2. Step 2: Convert to fraction form
    206,456.99/309,648.45 = 56,677.56/x
  3. Step 3: Cross multiply
    206,456.99x = 309,648.45 × 56,677.56
  4. Step 4: Simplify right side
    206,456.99x = 17,550,117,655.14
  5. Step 5: Solve for x
    x = 17,550,117,655.14/206,456.99
  6. Step 6: Final answer
    x = 85,006.17

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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.