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Finding the Fourth Proportional to 118,400.32, 163,392.80 and 68,096

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Solution

The fourth proportional to 118,400.32, 163,392.80 and 68,096 is: 93,972.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,400.32 : 163,392.80 = 68,096 : x
  2. Step 2: Convert to fraction form
    118,400.32/163,392.80 = 68,096/x
  3. Step 3: Cross multiply
    118,400.32x = 163,392.80 × 68,096
  4. Step 4: Simplify right side
    118,400.32x = 11,126,396,108.80
  5. Step 5: Solve for x
    x = 11,126,396,108.80/118,400.32
  6. Step 6: Final answer
    x = 93,972.69

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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.