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Finding the Fourth Proportional to 71,788.17, 107,697.63 and 21,872.30

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Solution

The fourth proportional to 71,788.17, 107,697.63 and 21,872.30 is: 32,813.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,788.17 : 107,697.63 = 21,872.30 : x
  2. Step 2: Convert to fraction form
    71,788.17/107,697.63 = 21,872.30/x
  3. Step 3: Cross multiply
    71,788.17x = 107,697.63 × 21,872.30
  4. Step 4: Simplify right side
    71,788.17x = 2,355,594,416.18
  5. Step 5: Solve for x
    x = 2,355,594,416.18/71,788.17
  6. Step 6: Final answer
    x = 32,813.13

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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.