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Finding the Fourth Proportional to 105,939, 158,908.14 and 66,523.77

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Solution

The fourth proportional to 105,939, 158,908.14 and 66,523.77 is: 99,785.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,939 : 158,908.14 = 66,523.77 : x
  2. Step 2: Convert to fraction form
    105,939/158,908.14 = 66,523.77/x
  3. Step 3: Cross multiply
    105,939x = 158,908.14 × 66,523.77
  4. Step 4: Simplify right side
    105,939x = 10,571,168,556.49
  5. Step 5: Solve for x
    x = 10,571,168,556.49/105,939
  6. Step 6: Final answer
    x = 99,785.43

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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.