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Finding the Fourth Proportional to 68,470.48, 102,706.12 and 21,084.96

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Solution

The fourth proportional to 68,470.48, 102,706.12 and 21,084.96 is: 31,627.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,470.48 : 102,706.12 = 21,084.96 : x
  2. Step 2: Convert to fraction form
    68,470.48/102,706.12 = 21,084.96/x
  3. Step 3: Cross multiply
    68,470.48x = 102,706.12 × 21,084.96
  4. Step 4: Simplify right side
    68,470.48x = 2,165,554,431.96
  5. Step 5: Solve for x
    x = 2,165,554,431.96/68,470.48
  6. Step 6: Final answer
    x = 31,627.56

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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.