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Finding the Fourth Proportional to 68,102.85, 102,170.61 and 21,355.71

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Solution

The fourth proportional to 68,102.85, 102,170.61 and 21,355.71 is: 32,038.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,102.85 : 102,170.61 = 21,355.71 : x
  2. Step 2: Convert to fraction form
    68,102.85/102,170.61 = 21,355.71/x
  3. Step 3: Cross multiply
    68,102.85x = 102,170.61 × 21,355.71
  4. Step 4: Simplify right side
    68,102.85x = 2,181,925,917.68
  5. Step 5: Solve for x
    x = 2,181,925,917.68/68,102.85
  6. Step 6: Final answer
    x = 32,038.69

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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.