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Finding the Fourth Proportional to 45,935, 68,912.24 and 14,772.68

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Solution

The fourth proportional to 45,935, 68,912.24 and 14,772.68 is: 22,162.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,935 : 68,912.24 = 14,772.68 : x
  2. Step 2: Convert to fraction form
    45,935/68,912.24 = 14,772.68/x
  3. Step 3: Cross multiply
    45,935x = 68,912.24 × 14,772.68
  4. Step 4: Simplify right side
    45,935x = 1,018,018,469.60
  5. Step 5: Solve for x
    x = 1,018,018,469.60/45,935
  6. Step 6: Final answer
    x = 22,162.15

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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.