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Finding the Fourth Proportional to 68,141.06, 102,125.10 and 30,661.10

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Solution

The fourth proportional to 68,141.06, 102,125.10 and 30,661.10 is: 45,952.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,141.06 : 102,125.10 = 30,661.10 : x
  2. Step 2: Convert to fraction form
    68,141.06/102,125.10 = 30,661.10/x
  3. Step 3: Cross multiply
    68,141.06x = 102,125.10 × 30,661.10
  4. Step 4: Simplify right side
    68,141.06x = 3,131,267,903.61
  5. Step 5: Solve for x
    x = 3,131,267,903.61/68,141.06
  6. Step 6: Final answer
    x = 45,952.73

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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.