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Finding the Fourth Proportional to 207,707.52, 311,428.14 and 87,731.97

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Solution

The fourth proportional to 207,707.52, 311,428.14 and 87,731.97 is: 131,541.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,707.52 : 311,428.14 = 87,731.97 : x
  2. Step 2: Convert to fraction form
    207,707.52/311,428.14 = 87,731.97/x
  3. Step 3: Cross multiply
    207,707.52x = 311,428.14 × 87,731.97
  4. Step 4: Simplify right side
    207,707.52x = 27,322,204,235.64
  5. Step 5: Solve for x
    x = 27,322,204,235.64/207,707.52
  6. Step 6: Final answer
    x = 131,541.72

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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.