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Finding the Fourth Proportional to 190,149.57, 285,504.71 and 106,074

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Solution

The fourth proportional to 190,149.57, 285,504.71 and 106,074 is: 159,267.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,149.57 : 285,504.71 = 106,074 : x
  2. Step 2: Convert to fraction form
    190,149.57/285,504.71 = 106,074/x
  3. Step 3: Cross multiply
    190,149.57x = 285,504.71 × 106,074
  4. Step 4: Simplify right side
    190,149.57x = 30,284,626,078.17
  5. Step 5: Solve for x
    x = 30,284,626,078.17/190,149.57
  6. Step 6: Final answer
    x = 159,267.39

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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.