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Finding the Fourth Proportional to 206,734.13, 310,101.26 and 66,492.75

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Solution

The fourth proportional to 206,734.13, 310,101.26 and 66,492.75 is: 99,739.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,734.13 : 310,101.26 = 66,492.75 : x
  2. Step 2: Convert to fraction form
    206,734.13/310,101.26 = 66,492.75/x
  3. Step 3: Cross multiply
    206,734.13x = 310,101.26 × 66,492.75
  4. Step 4: Simplify right side
    206,734.13x = 20,619,485,555.87
  5. Step 5: Solve for x
    x = 20,619,485,555.87/206,734.13
  6. Step 6: Final answer
    x = 99,739.15

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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.