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Finding the Fourth Proportional to 206,722.30, 310,083.45 and 66,495.10

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Solution

The fourth proportional to 206,722.30, 310,083.45 and 66,495.10 is: 99,742.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,722.30 : 310,083.45 = 66,495.10 : x
  2. Step 2: Convert to fraction form
    206,722.30/310,083.45 = 66,495.10/x
  3. Step 3: Cross multiply
    206,722.30x = 310,083.45 × 66,495.10
  4. Step 4: Simplify right side
    206,722.30x = 20,619,030,016.10
  5. Step 5: Solve for x
    x = 20,619,030,016.10/206,722.30
  6. Step 6: Final answer
    x = 99,742.65

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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.