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Finding the Fourth Proportional to 192,870.98, 289,352.31 and 80,488.76

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Solution

The fourth proportional to 192,870.98, 289,352.31 and 80,488.76 is: 120,752.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,870.98 : 289,352.31 = 80,488.76 : x
  2. Step 2: Convert to fraction form
    192,870.98/289,352.31 = 80,488.76/x
  3. Step 3: Cross multiply
    192,870.98x = 289,352.31 × 80,488.76
  4. Step 4: Simplify right side
    192,870.98x = 23,289,608,635.04
  5. Step 5: Solve for x
    x = 23,289,608,635.04/192,870.98
  6. Step 6: Final answer
    x = 120,752.27

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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.