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Finding the Fourth Proportional to 68,131.52, 102,197.30 and 30,647.80

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Solution

The fourth proportional to 68,131.52, 102,197.30 and 30,647.80 is: 45,971.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,131.52 : 102,197.30 = 30,647.80 : x
  2. Step 2: Convert to fraction form
    68,131.52/102,197.30 = 30,647.80/x
  3. Step 3: Cross multiply
    68,131.52x = 102,197.30 × 30,647.80
  4. Step 4: Simplify right side
    68,131.52x = 3,132,121,899.95
  5. Step 5: Solve for x
    x = 3,132,121,899.95/68,131.52
  6. Step 6: Final answer
    x = 45,971.70

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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.