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Finding the Fourth Proportional to 105,940.54, 158,871.87 and 42,743.77

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Solution

The fourth proportional to 105,940.54, 158,871.87 and 42,743.77 is: 64,099.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,940.54 : 158,871.87 = 42,743.77 : x
  2. Step 2: Convert to fraction form
    105,940.54/158,871.87 = 42,743.77/x
  3. Step 3: Cross multiply
    105,940.54x = 158,871.87 × 42,743.77
  4. Step 4: Simplify right side
    105,940.54x = 6,790,782,670.75
  5. Step 5: Solve for x
    x = 6,790,782,670.75/105,940.54
  6. Step 6: Final answer
    x = 64,099.94

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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.