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Finding the Fourth Proportional to 171,516.96, 257,275.44 and 78,049.44

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Solution

The fourth proportional to 171,516.96, 257,275.44 and 78,049.44 is: 117,074.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,516.96 : 257,275.44 = 78,049.44 : x
  2. Step 2: Convert to fraction form
    171,516.96/257,275.44 = 78,049.44/x
  3. Step 3: Cross multiply
    171,516.96x = 257,275.44 × 78,049.44
  4. Step 4: Simplify right side
    171,516.96x = 20,080,204,017.75
  5. Step 5: Solve for x
    x = 20,080,204,017.75/171,516.96
  6. Step 6: Final answer
    x = 117,074.16

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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.