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Finding the Fourth Proportional to 171,963.20, 257,858.40 and 78,363.20

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Solution

The fourth proportional to 171,963.20, 257,858.40 and 78,363.20 is: 117,505.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,963.20 : 257,858.40 = 78,363.20 : x
  2. Step 2: Convert to fraction form
    171,963.20/257,858.40 = 78,363.20/x
  3. Step 3: Cross multiply
    171,963.20x = 257,858.40 × 78,363.20
  4. Step 4: Simplify right side
    171,963.20x = 20,206,609,370.88
  5. Step 5: Solve for x
    x = 20,206,609,370.88/171,963.20
  6. Step 6: Final answer
    x = 117,505.43

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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.