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Finding the Fourth Proportional to 192,705.20, 288,928.20 and 102,762.80

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Solution

The fourth proportional to 192,705.20, 288,928.20 and 102,762.80 is: 154,075.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,705.20 : 288,928.20 = 102,762.80 : x
  2. Step 2: Convert to fraction form
    192,705.20/288,928.20 = 102,762.80/x
  3. Step 3: Cross multiply
    192,705.20x = 288,928.20 × 102,762.80
  4. Step 4: Simplify right side
    192,705.20x = 29,691,070,830.96
  5. Step 5: Solve for x
    x = 29,691,070,830.96/192,705.20
  6. Step 6: Final answer
    x = 154,075.09

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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.