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Finding the Fourth Proportional to 97,942.80, 146,914.20 and 80,662.80

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Solution

The fourth proportional to 97,942.80, 146,914.20 and 80,662.80 is: 120,994.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,942.80 : 146,914.20 = 80,662.80 : x
  2. Step 2: Convert to fraction form
    97,942.80/146,914.20 = 80,662.80/x
  3. Step 3: Cross multiply
    97,942.80x = 146,914.20 × 80,662.80
  4. Step 4: Simplify right side
    97,942.80x = 11,850,510,731.76
  5. Step 5: Solve for x
    x = 11,850,510,731.76/97,942.80
  6. Step 6: Final answer
    x = 120,994.20

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1.5x scale

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.