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Finding the Fourth Proportional to 71,291.84, 106,907.64 and 21,379.04

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Solution

The fourth proportional to 71,291.84, 106,907.64 and 21,379.04 is: 32,059.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,291.84 : 106,907.64 = 21,379.04 : x
  2. Step 2: Convert to fraction form
    71,291.84/106,907.64 = 21,379.04/x
  3. Step 3: Cross multiply
    71,291.84x = 106,907.64 × 21,379.04
  4. Step 4: Simplify right side
    71,291.84x = 2,285,582,711.87
  5. Step 5: Solve for x
    x = 2,285,582,711.87/71,291.84
  6. Step 6: Final answer
    x = 32,059.53

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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.