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Finding the Fourth Proportional to 135,792, 187,392.96 and 76,176

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Solution

The fourth proportional to 135,792, 187,392.96 and 76,176 is: 105,122.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,792 : 187,392.96 = 76,176 : x
  2. Step 2: Convert to fraction form
    135,792/187,392.96 = 76,176/x
  3. Step 3: Cross multiply
    135,792x = 187,392.96 × 76,176
  4. Step 4: Simplify right side
    135,792x = 14,274,846,120.96
  5. Step 5: Solve for x
    x = 14,274,846,120.96/135,792
  6. Step 6: Final answer
    x = 105,122.88

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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.