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Finding the Fourth Proportional to 204,412, 306,620.76 and 64,170.64

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Solution

The fourth proportional to 204,412, 306,620.76 and 64,170.64 is: 96,256.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,412 : 306,620.76 = 64,170.64 : x
  2. Step 2: Convert to fraction form
    204,412/306,620.76 = 64,170.64/x
  3. Step 3: Cross multiply
    204,412x = 306,620.76 × 64,170.64
  4. Step 4: Simplify right side
    204,412x = 19,676,050,406.49
  5. Step 5: Solve for x
    x = 19,676,050,406.49/204,412
  6. Step 6: Final answer
    x = 96,256.83

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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.