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Finding the Fourth Proportional to 208,336.64, 287,487.24 and 122,286.32

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Solution

The fourth proportional to 208,336.64, 287,487.24 and 122,286.32 is: 168,744.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,336.64 : 287,487.24 = 122,286.32 : x
  2. Step 2: Convert to fraction form
    208,336.64/287,487.24 = 122,286.32/x
  3. Step 3: Cross multiply
    208,336.64x = 287,487.24 × 122,286.32
  4. Step 4: Simplify right side
    208,336.64x = 35,155,756,626.56
  5. Step 5: Solve for x
    x = 35,155,756,626.56/208,336.64
  6. Step 6: Final answer
    x = 168,744.95

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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.