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Finding the Fourth Proportional to 68,490.33, 102,743.69 and 29,042.31

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Solution

The fourth proportional to 68,490.33, 102,743.69 and 29,042.31 is: 43,566.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,490.33 : 102,743.69 = 29,042.31 : x
  2. Step 2: Convert to fraction form
    68,490.33/102,743.69 = 29,042.31/x
  3. Step 3: Cross multiply
    68,490.33x = 102,743.69 × 29,042.31
  4. Step 4: Simplify right side
    68,490.33x = 2,983,914,095.52
  5. Step 5: Solve for x
    x = 2,983,914,095.52/68,490.33
  6. Step 6: Final answer
    x = 43,566.94

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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.