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Finding the Fourth Proportional to 71,378.64, 107,063.82 and 21,457.65

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Solution

The fourth proportional to 71,378.64, 107,063.82 and 21,457.65 is: 32,185.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,378.64 : 107,063.82 = 21,457.65 : x
  2. Step 2: Convert to fraction form
    71,378.64/107,063.82 = 21,457.65/x
  3. Step 3: Cross multiply
    71,378.64x = 107,063.82 × 21,457.65
  4. Step 4: Simplify right side
    71,378.64x = 2,297,337,977.22
  5. Step 5: Solve for x
    x = 2,297,337,977.22/71,378.64
  6. Step 6: Final answer
    x = 32,185.23

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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.