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Finding the Fourth Proportional to 216,325.82, 324,692.32 and 109,786.30

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Solution

The fourth proportional to 216,325.82, 324,692.32 and 109,786.30 is: 164,782.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,325.82 : 324,692.32 = 109,786.30 : x
  2. Step 2: Convert to fraction form
    216,325.82/324,692.32 = 109,786.30/x
  3. Step 3: Cross multiply
    216,325.82x = 324,692.32 × 109,786.30
  4. Step 4: Simplify right side
    216,325.82x = 35,646,768,451.22
  5. Step 5: Solve for x
    x = 35,646,768,451.22/216,325.82
  6. Step 6: Final answer
    x = 164,782.77

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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.