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Finding the Fourth Proportional to 45,342, 68,016.84 and 12,510

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Solution

The fourth proportional to 45,342, 68,016.84 and 12,510 is: 18,766.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,342 : 68,016.84 = 12,510 : x
  2. Step 2: Convert to fraction form
    45,342/68,016.84 = 12,510/x
  3. Step 3: Cross multiply
    45,342x = 68,016.84 × 12,510
  4. Step 4: Simplify right side
    45,342x = 850,890,668.40
  5. Step 5: Solve for x
    x = 850,890,668.40/45,342
  6. Step 6: Final answer
    x = 18,766.06

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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.