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Finding the Fourth Proportional to 71,314.71, 106,965.69 and 21,405.96

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Solution

The fourth proportional to 71,314.71, 106,965.69 and 21,405.96 is: 32,107.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,314.71 : 106,965.69 = 21,405.96 : x
  2. Step 2: Convert to fraction form
    71,314.71/106,965.69 = 21,405.96/x
  3. Step 3: Cross multiply
    71,314.71x = 106,965.69 × 21,405.96
  4. Step 4: Simplify right side
    71,314.71x = 2,289,703,281.51
  5. Step 5: Solve for x
    x = 2,289,703,281.51/71,314.71
  6. Step 6: Final answer
    x = 32,107.03

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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.