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Finding the Fourth Proportional to 70,788.70, 106,165.98 and 20,855.26

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Solution

The fourth proportional to 70,788.70, 106,165.98 and 20,855.26 is: 31,277.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,788.70 : 106,165.98 = 20,855.26 : x
  2. Step 2: Convert to fraction form
    70,788.70/106,165.98 = 20,855.26/x
  3. Step 3: Cross multiply
    70,788.70x = 106,165.98 × 20,855.26
  4. Step 4: Simplify right side
    70,788.70x = 2,214,119,116.05
  5. Step 5: Solve for x
    x = 2,214,119,116.05/70,788.70
  6. Step 6: Final answer
    x = 31,277.86

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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.