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Finding the Fourth Proportional to 206,257.69, 309,386.78 and 56,499.27

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Solution

The fourth proportional to 206,257.69, 309,386.78 and 56,499.27 is: 84,748.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,257.69 : 309,386.78 = 56,499.27 : x
  2. Step 2: Convert to fraction form
    206,257.69/309,386.78 = 56,499.27/x
  3. Step 3: Cross multiply
    206,257.69x = 309,386.78 × 56,499.27
  4. Step 4: Simplify right side
    206,257.69x = 17,480,126,460.99
  5. Step 5: Solve for x
    x = 17,480,126,460.99/206,257.69
  6. Step 6: Final answer
    x = 84,748.97

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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.