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Finding the Fourth Proportional to 117,855.86, 162,230.36 and 102,722.27

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Solution

The fourth proportional to 117,855.86, 162,230.36 and 102,722.27 is: 141,398.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,855.86 : 162,230.36 = 102,722.27 : x
  2. Step 2: Convert to fraction form
    117,855.86/162,230.36 = 102,722.27/x
  3. Step 3: Cross multiply
    117,855.86x = 162,230.36 × 102,722.27
  4. Step 4: Simplify right side
    117,855.86x = 16,664,669,517.35
  5. Step 5: Solve for x
    x = 16,664,669,517.35/117,855.86
  6. Step 6: Final answer
    x = 141,398.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.