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Finding the Fourth Proportional to 192,692.24, 288,966.60 and 66,297.20

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Solution

The fourth proportional to 192,692.24, 288,966.60 and 66,297.20 is: 99,421.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,692.24 : 288,966.60 = 66,297.20 : x
  2. Step 2: Convert to fraction form
    192,692.24/288,966.60 = 66,297.20/x
  3. Step 3: Cross multiply
    192,692.24x = 288,966.60 × 66,297.20
  4. Step 4: Simplify right side
    192,692.24x = 19,157,676,473.52
  5. Step 5: Solve for x
    x = 19,157,676,473.52/192,692.24
  6. Step 6: Final answer
    x = 99,421.11

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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.