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Finding the Fourth Proportional to 192,692.70, 288,909.45 and 102,750.30

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Solution

The fourth proportional to 192,692.70, 288,909.45 and 102,750.30 is: 154,056.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,692.70 : 288,909.45 = 102,750.30 : x
  2. Step 2: Convert to fraction form
    192,692.70/288,909.45 = 102,750.30/x
  3. Step 3: Cross multiply
    192,692.70x = 288,909.45 × 102,750.30
  4. Step 4: Simplify right side
    192,692.70x = 29,685,532,660.34
  5. Step 5: Solve for x
    x = 29,685,532,660.34/192,692.70
  6. Step 6: Final answer
    x = 154,056.34

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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.