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Finding the Fourth Proportional to 204,112, 306,307.30 and 70,990.92

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Solution

The fourth proportional to 204,112, 306,307.30 and 70,990.92 is: 106,534.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,112 : 306,307.30 = 70,990.92 : x
  2. Step 2: Convert to fraction form
    204,112/306,307.30 = 70,990.92/x
  3. Step 3: Cross multiply
    204,112x = 306,307.30 × 70,990.92
  4. Step 4: Simplify right side
    204,112x = 21,745,037,029.72
  5. Step 5: Solve for x
    x = 21,745,037,029.72/204,112
  6. Step 6: Final answer
    x = 106,534.83

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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.