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Finding the Fourth Proportional to 206,684.82, 310,028.70 and 56,921.76

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Solution

The fourth proportional to 206,684.82, 310,028.70 and 56,921.76 is: 85,383.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,684.82 : 310,028.70 = 56,921.76 : x
  2. Step 2: Convert to fraction form
    206,684.82/310,028.70 = 56,921.76/x
  3. Step 3: Cross multiply
    206,684.82x = 310,028.70 × 56,921.76
  4. Step 4: Simplify right side
    206,684.82x = 17,647,379,254.51
  5. Step 5: Solve for x
    x = 17,647,379,254.51/206,684.82
  6. Step 6: Final answer
    x = 85,383.04

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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.