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Finding the Fourth Proportional to 262,950.14, 394,140.85 and 105,005

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Solution

The fourth proportional to 262,950.14, 394,140.85 and 105,005 is: 157,393.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,950.14 : 394,140.85 = 105,005 : x
  2. Step 2: Convert to fraction form
    262,950.14/394,140.85 = 105,005/x
  3. Step 3: Cross multiply
    262,950.14x = 394,140.85 × 105,005
  4. Step 4: Simplify right side
    262,950.14x = 41,386,759,954.25
  5. Step 5: Solve for x
    x = 41,386,759,954.25/262,950.14
  6. Step 6: Final answer
    x = 157,393.95

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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.