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Finding the Fourth Proportional to 45,381.32, 68,072.01 and 14,219

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Solution

The fourth proportional to 45,381.32, 68,072.01 and 14,219 is: 21,328.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,381.32 : 68,072.01 = 14,219 : x
  2. Step 2: Convert to fraction form
    45,381.32/68,072.01 = 14,219/x
  3. Step 3: Cross multiply
    45,381.32x = 68,072.01 × 14,219
  4. Step 4: Simplify right side
    45,381.32x = 967,915,910.19
  5. Step 5: Solve for x
    x = 967,915,910.19/45,381.32
  6. Step 6: Final answer
    x = 21,328.51

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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.