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Finding the Fourth Proportional to 207,617.82, 311,426.94 and 57,858.54

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Solution

The fourth proportional to 207,617.82, 311,426.94 and 57,858.54 is: 86,787.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,617.82 : 311,426.94 = 57,858.54 : x
  2. Step 2: Convert to fraction form
    207,617.82/311,426.94 = 57,858.54/x
  3. Step 3: Cross multiply
    207,617.82x = 311,426.94 × 57,858.54
  4. Step 4: Simplify right side
    207,617.82x = 18,018,708,065.07
  5. Step 5: Solve for x
    x = 18,018,708,065.07/207,617.82
  6. Step 6: Final answer
    x = 86,787.87

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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.