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Finding the Fourth Proportional to 219,692.69, 329,421.83 and 104,165.78

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Solution

The fourth proportional to 219,692.69, 329,421.83 and 104,165.78 is: 156,193.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,692.69 : 329,421.83 = 104,165.78 : x
  2. Step 2: Convert to fraction form
    219,692.69/329,421.83 = 104,165.78/x
  3. Step 3: Cross multiply
    219,692.69x = 329,421.83 × 104,165.78
  4. Step 4: Simplify right side
    219,692.69x = 34,314,483,458.48
  5. Step 5: Solve for x
    x = 34,314,483,458.48/219,692.69
  6. Step 6: Final answer
    x = 156,193.10

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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.