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Finding the Fourth Proportional to 205,987.31, 308,731.45 and 87,409.55

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Solution

The fourth proportional to 205,987.31, 308,731.45 and 87,409.55 is: 131,008.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,987.31 : 308,731.45 = 87,409.55 : x
  2. Step 2: Convert to fraction form
    205,987.31/308,731.45 = 87,409.55/x
  3. Step 3: Cross multiply
    205,987.31x = 308,731.45 × 87,409.55
  4. Step 4: Simplify right side
    205,987.31x = 26,986,077,115.35
  5. Step 5: Solve for x
    x = 26,986,077,115.35/205,987.31
  6. Step 6: Final answer
    x = 131,008.44

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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.