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Finding the Fourth Proportional to 206,485.76, 309,841.52 and 80,131.01

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Solution

The fourth proportional to 206,485.76, 309,841.52 and 80,131.01 is: 120,240.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,485.76 : 309,841.52 = 80,131.01 : x
  2. Step 2: Convert to fraction form
    206,485.76/309,841.52 = 80,131.01/x
  3. Step 3: Cross multiply
    206,485.76x = 309,841.52 × 80,131.01
  4. Step 4: Simplify right side
    206,485.76x = 24,827,911,987.67
  5. Step 5: Solve for x
    x = 24,827,911,987.67/206,485.76
  6. Step 6: Final answer
    x = 120,240.31

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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.