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Finding the Fourth Proportional to 257,563.02, 386,342.64 and 80,069.70

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Solution

The fourth proportional to 257,563.02, 386,342.64 and 80,069.70 is: 120,103.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,563.02 : 386,342.64 = 80,069.70 : x
  2. Step 2: Convert to fraction form
    257,563.02/386,342.64 = 80,069.70/x
  3. Step 3: Cross multiply
    257,563.02x = 386,342.64 × 80,069.70
  4. Step 4: Simplify right side
    257,563.02x = 30,934,339,282.01
  5. Step 5: Solve for x
    x = 30,934,339,282.01/257,563.02
  6. Step 6: Final answer
    x = 120,103.96

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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.