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Finding the Fourth Proportional to 206,459.34, 309,719.80 and 73,328.44

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Solution

The fourth proportional to 206,459.34, 309,719.80 and 73,328.44 is: 110,003.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,459.34 : 309,719.80 = 73,328.44 : x
  2. Step 2: Convert to fraction form
    206,459.34/309,719.80 = 73,328.44/x
  3. Step 3: Cross multiply
    206,459.34x = 309,719.80 × 73,328.44
  4. Step 4: Simplify right side
    206,459.34x = 22,711,269,771.11
  5. Step 5: Solve for x
    x = 22,711,269,771.11/206,459.34
  6. Step 6: Final answer
    x = 110,003.60

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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.