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Finding the Fourth Proportional to 45,378.48, 68,069.88 and 14,214

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Solution

The fourth proportional to 45,378.48, 68,069.88 and 14,214 is: 21,321.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,378.48 : 68,069.88 = 14,214 : x
  2. Step 2: Convert to fraction form
    45,378.48/68,069.88 = 14,214/x
  3. Step 3: Cross multiply
    45,378.48x = 68,069.88 × 14,214
  4. Step 4: Simplify right side
    45,378.48x = 967,545,274.32
  5. Step 5: Solve for x
    x = 967,545,274.32/45,378.48
  6. Step 6: Final answer
    x = 21,321.68

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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.