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Finding the Fourth Proportional to 206,322.46, 309,483.69 and 136,185.37

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Solution

The fourth proportional to 206,322.46, 309,483.69 and 136,185.37 is: 204,278.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,322.46 : 309,483.69 = 136,185.37 : x
  2. Step 2: Convert to fraction form
    206,322.46/309,483.69 = 136,185.37/x
  3. Step 3: Cross multiply
    206,322.46x = 309,483.69 × 136,185.37
  4. Step 4: Simplify right side
    206,322.46x = 42,147,149,547.21
  5. Step 5: Solve for x
    x = 42,147,149,547.21/206,322.46
  6. Step 6: Final answer
    x = 204,278.05

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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.