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Finding the Fourth Proportional to 285,051.23, 427,643.34 and 82,651.56

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Solution

The fourth proportional to 285,051.23, 427,643.34 and 82,651.56 is: 123,996.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,051.23 : 427,643.34 = 82,651.56 : x
  2. Step 2: Convert to fraction form
    285,051.23/427,643.34 = 82,651.56/x
  3. Step 3: Cross multiply
    285,051.23x = 427,643.34 × 82,651.56
  4. Step 4: Simplify right side
    285,051.23x = 35,345,389,174.61
  5. Step 5: Solve for x
    x = 35,345,389,174.61/285,051.23
  6. Step 6: Final answer
    x = 123,996.62

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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.