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Finding the Fourth Proportional to 68,111.85, 102,184.11 and 21,364.71

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Solution

The fourth proportional to 68,111.85, 102,184.11 and 21,364.71 is: 32,052.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,111.85 : 102,184.11 = 21,364.71 : x
  2. Step 2: Convert to fraction form
    68,111.85/102,184.11 = 21,364.71/x
  3. Step 3: Cross multiply
    68,111.85x = 102,184.11 × 21,364.71
  4. Step 4: Simplify right side
    68,111.85x = 2,183,133,876.76
  5. Step 5: Solve for x
    x = 2,183,133,876.76/68,111.85
  6. Step 6: Final answer
    x = 32,052.19

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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.