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Finding the Fourth Proportional to 68,497.68, 102,816.34 and 36,906.40

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Solution

The fourth proportional to 68,497.68, 102,816.34 and 36,906.40 is: 55,397.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,497.68 : 102,816.34 = 36,906.40 : x
  2. Step 2: Convert to fraction form
    68,497.68/102,816.34 = 36,906.40/x
  3. Step 3: Cross multiply
    68,497.68x = 102,816.34 × 36,906.40
  4. Step 4: Simplify right side
    68,497.68x = 3,794,580,970.58
  5. Step 5: Solve for x
    x = 3,794,580,970.58/68,497.68
  6. Step 6: Final answer
    x = 55,397.22

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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.