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Finding the Fourth Proportional to 71,314.21, 106,964.94 and 21,405.45

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Solution

The fourth proportional to 71,314.21, 106,964.94 and 21,405.45 is: 32,106.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,314.21 : 106,964.94 = 21,405.45 : x
  2. Step 2: Convert to fraction form
    71,314.21/106,964.94 = 21,405.45/x
  3. Step 3: Cross multiply
    71,314.21x = 106,964.94 × 21,405.45
  4. Step 4: Simplify right side
    71,314.21x = 2,289,632,674.92
  5. Step 5: Solve for x
    x = 2,289,632,674.92/71,314.21
  6. Step 6: Final answer
    x = 32,106.26

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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.