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Finding the Fourth Proportional to 45,476, 68,214 and 14,311.28

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Solution

The fourth proportional to 45,476, 68,214 and 14,311.28 is: 21,466.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,476 : 68,214 = 14,311.28 : x
  2. Step 2: Convert to fraction form
    45,476/68,214 = 14,311.28/x
  3. Step 3: Cross multiply
    45,476x = 68,214 × 14,311.28
  4. Step 4: Simplify right side
    45,476x = 976,229,653.92
  5. Step 5: Solve for x
    x = 976,229,653.92/45,476
  6. Step 6: Final answer
    x = 21,466.92

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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.