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Finding the Fourth Proportional to 68,014.70, 102,022.05 and 21,281.90

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Solution

The fourth proportional to 68,014.70, 102,022.05 and 21,281.90 is: 31,922.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,014.70 : 102,022.05 = 21,281.90 : x
  2. Step 2: Convert to fraction form
    68,014.70/102,022.05 = 21,281.90/x
  3. Step 3: Cross multiply
    68,014.70x = 102,022.05 × 21,281.90
  4. Step 4: Simplify right side
    68,014.70x = 2,171,223,065.90
  5. Step 5: Solve for x
    x = 2,171,223,065.90/68,014.70
  6. Step 6: Final answer
    x = 31,922.85

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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.