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Finding the Fourth Proportional to 201,100.68, 301,651.94 and 67,981.65

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Solution

The fourth proportional to 201,100.68, 301,651.94 and 67,981.65 is: 101,972.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,100.68 : 301,651.94 = 67,981.65 : x
  2. Step 2: Convert to fraction form
    201,100.68/301,651.94 = 67,981.65/x
  3. Step 3: Cross multiply
    201,100.68x = 301,651.94 × 67,981.65
  4. Step 4: Simplify right side
    201,100.68x = 20,506,796,266.99
  5. Step 5: Solve for x
    x = 20,506,796,266.99/201,100.68
  6. Step 6: Final answer
    x = 101,972.78

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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.