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Finding the Fourth Proportional to 206,799.90, 310,221.41 and 57,040.21

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Solution

The fourth proportional to 206,799.90, 310,221.41 and 57,040.21 is: 85,566.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,799.90 : 310,221.41 = 57,040.21 : x
  2. Step 2: Convert to fraction form
    206,799.90/310,221.41 = 57,040.21/x
  3. Step 3: Cross multiply
    206,799.90x = 310,221.41 × 57,040.21
  4. Step 4: Simplify right side
    206,799.90x = 17,695,094,372.90
  5. Step 5: Solve for x
    x = 17,695,094,372.90/206,799.90
  6. Step 6: Final answer
    x = 85,566.26

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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.