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Finding the Fourth Proportional to 200,740.30, 301,110.99 and 67,714

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Solution

The fourth proportional to 200,740.30, 301,110.99 and 67,714 is: 101,571.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,740.30 : 301,110.99 = 67,714 : x
  2. Step 2: Convert to fraction form
    200,740.30/301,110.99 = 67,714/x
  3. Step 3: Cross multiply
    200,740.30x = 301,110.99 × 67,714
  4. Step 4: Simplify right side
    200,740.30x = 20,389,429,576.86
  5. Step 5: Solve for x
    x = 20,389,429,576.86/200,740.30
  6. Step 6: Final answer
    x = 101,571.18

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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.