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Finding the Fourth Proportional to 206,858.56, 310,281.66 and 57,107.98

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Solution

The fourth proportional to 206,858.56, 310,281.66 and 57,107.98 is: 85,660.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,858.56 : 310,281.66 = 57,107.98 : x
  2. Step 2: Convert to fraction form
    206,858.56/310,281.66 = 57,107.98/x
  3. Step 3: Cross multiply
    206,858.56x = 310,281.66 × 57,107.98
  4. Step 4: Simplify right side
    206,858.56x = 17,719,559,854.43
  5. Step 5: Solve for x
    x = 17,719,559,854.43/206,858.56
  6. Step 6: Final answer
    x = 85,660.27

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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.