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Finding the Fourth Proportional to 68,201.80, 102,254.10 and 30,731.20

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Solution

The fourth proportional to 68,201.80, 102,254.10 and 30,731.20 is: 46,074.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,201.80 : 102,254.10 = 30,731.20 : x
  2. Step 2: Convert to fraction form
    68,201.80/102,254.10 = 30,731.20/x
  3. Step 3: Cross multiply
    68,201.80x = 102,254.10 × 30,731.20
  4. Step 4: Simplify right side
    68,201.80x = 3,142,391,197.92
  5. Step 5: Solve for x
    x = 3,142,391,197.92/68,201.80
  6. Step 6: Final answer
    x = 46,074.90

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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.