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Finding the Fourth Proportional to 68,453.84, 102,684.42 and 21,710.36

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Solution

The fourth proportional to 68,453.84, 102,684.42 and 21,710.36 is: 32,566.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,453.84 : 102,684.42 = 21,710.36 : x
  2. Step 2: Convert to fraction form
    68,453.84/102,684.42 = 21,710.36/x
  3. Step 3: Cross multiply
    68,453.84x = 102,684.42 × 21,710.36
  4. Step 4: Simplify right side
    68,453.84x = 2,229,315,724.59
  5. Step 5: Solve for x
    x = 2,229,315,724.59/68,453.84
  6. Step 6: Final answer
    x = 32,566.70

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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.