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Finding the Fourth Proportional to 206,863.82, 310,289.53 and 57,113.25

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Solution

The fourth proportional to 206,863.82, 310,289.53 and 57,113.25 is: 85,668.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,863.82 : 310,289.53 = 57,113.25 : x
  2. Step 2: Convert to fraction form
    206,863.82/310,289.53 = 57,113.25/x
  3. Step 3: Cross multiply
    206,863.82x = 310,289.53 × 57,113.25
  4. Step 4: Simplify right side
    206,863.82x = 17,721,643,499.27
  5. Step 5: Solve for x
    x = 17,721,643,499.27/206,863.82
  6. Step 6: Final answer
    x = 85,668.16

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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.