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Finding the Fourth Proportional to 206,580, 309,921.84 and 58,836

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Solution

The fourth proportional to 206,580, 309,921.84 and 58,836 is: 88,268.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,580 : 309,921.84 = 58,836 : x
  2. Step 2: Convert to fraction form
    206,580/309,921.84 = 58,836/x
  3. Step 3: Cross multiply
    206,580x = 309,921.84 × 58,836
  4. Step 4: Simplify right side
    206,580x = 18,234,561,378.24
  5. Step 5: Solve for x
    x = 18,234,561,378.24/206,580
  6. Step 6: Final answer
    x = 88,268.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.