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Finding the Fourth Proportional to 206,610, 309,885.90 and 66,350.40

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Solution

The fourth proportional to 206,610, 309,885.90 and 66,350.40 is: 99,516.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,610 : 309,885.90 = 66,350.40 : x
  2. Step 2: Convert to fraction form
    206,610/309,885.90 = 66,350.40/x
  3. Step 3: Cross multiply
    206,610x = 309,885.90 × 66,350.40
  4. Step 4: Simplify right side
    206,610x = 20,561,053,419.36
  5. Step 5: Solve for x
    x = 20,561,053,419.36/206,610
  6. Step 6: Final answer
    x = 99,516.25

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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.