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Finding the Fourth Proportional to 201,786.94, 302,605.89 and 87,920.65

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Solution

The fourth proportional to 201,786.94, 302,605.89 and 87,920.65 is: 131,848.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,786.94 : 302,605.89 = 87,920.65 : x
  2. Step 2: Convert to fraction form
    201,786.94/302,605.89 = 87,920.65/x
  3. Step 3: Cross multiply
    201,786.94x = 302,605.89 × 87,920.65
  4. Step 4: Simplify right side
    201,786.94x = 26,605,306,542.63
  5. Step 5: Solve for x
    x = 26,605,306,542.63/201,786.94
  6. Step 6: Final answer
    x = 131,848.51

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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.