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Finding the Fourth Proportional to 68,096.84, 102,161.61 and 21,349.71

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Solution

The fourth proportional to 68,096.84, 102,161.61 and 21,349.71 is: 32,029.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,096.84 : 102,161.61 = 21,349.71 : x
  2. Step 2: Convert to fraction form
    68,096.84/102,161.61 = 21,349.71/x
  3. Step 3: Cross multiply
    68,096.84x = 102,161.61 × 21,349.71
  4. Step 4: Simplify right side
    68,096.84x = 2,181,120,746.63
  5. Step 5: Solve for x
    x = 2,181,120,746.63/68,096.84
  6. Step 6: Final answer
    x = 32,029.69

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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.