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Finding the Fourth Proportional to 105,756, 158,616.98 and 30,858.56

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Solution

The fourth proportional to 105,756, 158,616.98 and 30,858.56 is: 46,282.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,756 : 158,616.98 = 30,858.56 : x
  2. Step 2: Convert to fraction form
    105,756/158,616.98 = 30,858.56/x
  3. Step 3: Cross multiply
    105,756x = 158,616.98 × 30,858.56
  4. Step 4: Simplify right side
    105,756x = 4,894,691,594.35
  5. Step 5: Solve for x
    x = 4,894,691,594.35/105,756
  6. Step 6: Final answer
    x = 46,282.87

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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.