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Finding the Fourth Proportional to 258,561.87, 356,818.11 and 142,276.85

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Solution

The fourth proportional to 258,561.87, 356,818.11 and 142,276.85 is: 196,343.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,561.87 : 356,818.11 = 142,276.85 : x
  2. Step 2: Convert to fraction form
    258,561.87/356,818.11 = 142,276.85/x
  3. Step 3: Cross multiply
    258,561.87x = 356,818.11 × 142,276.85
  4. Step 4: Simplify right side
    258,561.87x = 50,766,958,541.60
  5. Step 5: Solve for x
    x = 50,766,958,541.60/258,561.87
  6. Step 6: Final answer
    x = 196,343.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.