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Finding the Fourth Proportional to 206,456.34, 309,715.29 and 73,325.42

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Solution

The fourth proportional to 206,456.34, 309,715.29 and 73,325.42 is: 109,999.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,456.34 : 309,715.29 = 73,325.42 : x
  2. Step 2: Convert to fraction form
    206,456.34/309,715.29 = 73,325.42/x
  3. Step 3: Cross multiply
    206,456.34x = 309,715.29 × 73,325.42
  4. Step 4: Simplify right side
    206,456.34x = 22,710,003,719.67
  5. Step 5: Solve for x
    x = 22,710,003,719.67/206,456.34
  6. Step 6: Final answer
    x = 109,999.06

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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.