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Finding the Fourth Proportional to 206,272.98, 309,359.34 and 86,265

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Solution

The fourth proportional to 206,272.98, 309,359.34 and 86,265 is: 129,376.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,272.98 : 309,359.34 = 86,265 : x
  2. Step 2: Convert to fraction form
    206,272.98/309,359.34 = 86,265/x
  3. Step 3: Cross multiply
    206,272.98x = 309,359.34 × 86,265
  4. Step 4: Simplify right side
    206,272.98x = 26,686,883,465.10
  5. Step 5: Solve for x
    x = 26,686,883,465.10/206,272.98
  6. Step 6: Final answer
    x = 129,376.54

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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.