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Finding the Fourth Proportional to 45,442.67, 68,163 and 12,162.74

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Solution

The fourth proportional to 45,442.67, 68,163 and 12,162.74 is: 18,243.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,442.67 : 68,163 = 12,162.74 : x
  2. Step 2: Convert to fraction form
    45,442.67/68,163 = 12,162.74/x
  3. Step 3: Cross multiply
    45,442.67x = 68,163 × 12,162.74
  4. Step 4: Simplify right side
    45,442.67x = 829,048,505.81
  5. Step 5: Solve for x
    x = 829,048,505.81/45,442.67
  6. Step 6: Final answer
    x = 18,243.84

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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.