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Finding the Fourth Proportional to 206,609.64, 309,903.53 and 66,357.33

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Solution

The fourth proportional to 206,609.64, 309,903.53 and 66,357.33 is: 99,532.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,609.64 : 309,903.53 = 66,357.33 : x
  2. Step 2: Convert to fraction form
    206,609.64/309,903.53 = 66,357.33/x
  3. Step 3: Cross multiply
    206,609.64x = 309,903.53 × 66,357.33
  4. Step 4: Simplify right side
    206,609.64x = 20,564,370,476.59
  5. Step 5: Solve for x
    x = 20,564,370,476.59/206,609.64
  6. Step 6: Final answer
    x = 99,532.48

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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.