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Finding the Fourth Proportional to 68,705.25, 103,072.58 and 21,319.31

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Solution

The fourth proportional to 68,705.25, 103,072.58 and 21,319.31 is: 31,983.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,705.25 : 103,072.58 = 21,319.31 : x
  2. Step 2: Convert to fraction form
    68,705.25/103,072.58 = 21,319.31/x
  3. Step 3: Cross multiply
    68,705.25x = 103,072.58 × 21,319.31
  4. Step 4: Simplify right side
    68,705.25x = 2,197,435,663.56
  5. Step 5: Solve for x
    x = 2,197,435,663.56/68,705.25
  6. Step 6: Final answer
    x = 31,983.52

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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.