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Finding the Fourth Proportional to 120,776.93, 166,692.66 and 69,819.20

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Solution

The fourth proportional to 120,776.93, 166,692.66 and 69,819.20 is: 96,362.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,776.93 : 166,692.66 = 69,819.20 : x
  2. Step 2: Convert to fraction form
    120,776.93/166,692.66 = 69,819.20/x
  3. Step 3: Cross multiply
    120,776.93x = 166,692.66 × 69,819.20
  4. Step 4: Simplify right side
    120,776.93x = 11,638,347,696.88
  5. Step 5: Solve for x
    x = 11,638,347,696.88/120,776.93
  6. Step 6: Final answer
    x = 96,362.34

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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.