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Finding the Fourth Proportional to 68,546.69, 102,781.83 and 21,148.32

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Solution

The fourth proportional to 68,546.69, 102,781.83 and 21,148.32 is: 31,710.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,546.69 : 102,781.83 = 21,148.32 : x
  2. Step 2: Convert to fraction form
    68,546.69/102,781.83 = 21,148.32/x
  3. Step 3: Cross multiply
    68,546.69x = 102,781.83 × 21,148.32
  4. Step 4: Simplify right side
    68,546.69x = 2,173,663,376.80
  5. Step 5: Solve for x
    x = 2,173,663,376.80/68,546.69
  6. Step 6: Final answer
    x = 31,710.70

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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.