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Finding the Fourth Proportional to 80,643.96, 120,968.64 and 28,053.96

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Solution

The fourth proportional to 80,643.96, 120,968.64 and 28,053.96 is: 42,081.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,643.96 : 120,968.64 = 28,053.96 : x
  2. Step 2: Convert to fraction form
    80,643.96/120,968.64 = 28,053.96/x
  3. Step 3: Cross multiply
    80,643.96x = 120,968.64 × 28,053.96
  4. Step 4: Simplify right side
    80,643.96x = 3,393,649,387.81
  5. Step 5: Solve for x
    x = 3,393,649,387.81/80,643.96
  6. Step 6: Final answer
    x = 42,081.88

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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.