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Finding the Fourth Proportional to 68,470.92, 102,718.34 and 21,085.52

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Solution

The fourth proportional to 68,470.92, 102,718.34 and 21,085.52 is: 31,631.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,470.92 : 102,718.34 = 21,085.52 : x
  2. Step 2: Convert to fraction form
    68,470.92/102,718.34 = 21,085.52/x
  3. Step 3: Cross multiply
    68,470.92x = 102,718.34 × 21,085.52
  4. Step 4: Simplify right side
    68,470.92x = 2,165,869,612.44
  5. Step 5: Solve for x
    x = 2,165,869,612.44/68,470.92
  6. Step 6: Final answer
    x = 31,631.96

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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.