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Finding the Fourth Proportional to 257,276.31, 385,879.43 and 67,720.80

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Solution

The fourth proportional to 257,276.31, 385,879.43 and 67,720.80 is: 101,571.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,276.31 : 385,879.43 = 67,720.80 : x
  2. Step 2: Convert to fraction form
    257,276.31/385,879.43 = 67,720.80/x
  3. Step 3: Cross multiply
    257,276.31x = 385,879.43 × 67,720.80
  4. Step 4: Simplify right side
    257,276.31x = 26,132,064,952.94
  5. Step 5: Solve for x
    x = 26,132,064,952.94/257,276.31
  6. Step 6: Final answer
    x = 101,571.98

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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.