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Finding the Fourth Proportional to 192,870.82, 289,352.44 and 80,488.52

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Solution

The fourth proportional to 192,870.82, 289,352.44 and 80,488.52 is: 120,752.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,870.82 : 289,352.44 = 80,488.52 : x
  2. Step 2: Convert to fraction form
    192,870.82/289,352.44 = 80,488.52/x
  3. Step 3: Cross multiply
    192,870.82x = 289,352.44 × 80,488.52
  4. Step 4: Simplify right side
    192,870.82x = 23,289,549,653.99
  5. Step 5: Solve for x
    x = 23,289,549,653.99/192,870.82
  6. Step 6: Final answer
    x = 120,752.06

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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.