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Finding the Fourth Proportional to 197,137.80, 295,706.70 and 91,967.40

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Solution

The fourth proportional to 197,137.80, 295,706.70 and 91,967.40 is: 137,951.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,137.80 : 295,706.70 = 91,967.40 : x
  2. Step 2: Convert to fraction form
    197,137.80/295,706.70 = 91,967.40/x
  3. Step 3: Cross multiply
    197,137.80x = 295,706.70 × 91,967.40
  4. Step 4: Simplify right side
    197,137.80x = 27,195,376,361.58
  5. Step 5: Solve for x
    x = 27,195,376,361.58/197,137.80
  6. Step 6: Final answer
    x = 137,951.10

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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.