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Finding the Fourth Proportional to 190,138.68, 285,488.40 and 106,063.11

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Solution

The fourth proportional to 190,138.68, 285,488.40 and 106,063.11 is: 159,251.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,138.68 : 285,488.40 = 106,063.11 : x
  2. Step 2: Convert to fraction form
    190,138.68/285,488.40 = 106,063.11/x
  3. Step 3: Cross multiply
    190,138.68x = 285,488.40 × 106,063.11
  4. Step 4: Simplify right side
    190,138.68x = 30,279,787,572.92
  5. Step 5: Solve for x
    x = 30,279,787,572.92/190,138.68
  6. Step 6: Final answer
    x = 159,251.07

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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.