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Finding the Fourth Proportional to 207,956, 312,072.24 and 76,628

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Solution

The fourth proportional to 207,956, 312,072.24 and 76,628 is: 114,992.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,956 : 312,072.24 = 76,628 : x
  2. Step 2: Convert to fraction form
    207,956/312,072.24 = 76,628/x
  3. Step 3: Cross multiply
    207,956x = 312,072.24 × 76,628
  4. Step 4: Simplify right side
    207,956x = 23,913,471,606.72
  5. Step 5: Solve for x
    x = 23,913,471,606.72/207,956
  6. Step 6: Final answer
    x = 114,992.94

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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.