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Finding the Fourth Proportional to 206,393.59, 309,619.08 and 73,242.19

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Solution

The fourth proportional to 206,393.59, 309,619.08 and 73,242.19 is: 109,873.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,393.59 : 309,619.08 = 73,242.19 : x
  2. Step 2: Convert to fraction form
    206,393.59/309,619.08 = 73,242.19/x
  3. Step 3: Cross multiply
    206,393.59x = 309,619.08 × 73,242.19
  4. Step 4: Simplify right side
    206,393.59x = 22,677,179,484.99
  5. Step 5: Solve for x
    x = 22,677,179,484.99/206,393.59
  6. Step 6: Final answer
    x = 109,873.47

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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.