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Finding the Fourth Proportional to 118,709.74, 163,821.36 and 64,993.78

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Solution

The fourth proportional to 118,709.74, 163,821.36 and 64,993.78 is: 89,692.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,709.74 : 163,821.36 = 64,993.78 : x
  2. Step 2: Convert to fraction form
    118,709.74/163,821.36 = 64,993.78/x
  3. Step 3: Cross multiply
    118,709.74x = 163,821.36 × 64,993.78
  4. Step 4: Simplify right side
    118,709.74x = 10,647,369,431.14
  5. Step 5: Solve for x
    x = 10,647,369,431.14/118,709.74
  6. Step 6: Final answer
    x = 89,692.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.