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Finding the Fourth Proportional to 85,083, 127,682.94 and 29,679

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Solution

The fourth proportional to 85,083, 127,682.94 and 29,679 is: 44,538.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,083 : 127,682.94 = 29,679 : x
  2. Step 2: Convert to fraction form
    85,083/127,682.94 = 29,679/x
  3. Step 3: Cross multiply
    85,083x = 127,682.94 × 29,679
  4. Step 4: Simplify right side
    85,083x = 3,789,501,976.26
  5. Step 5: Solve for x
    x = 3,789,501,976.26/85,083
  6. Step 6: Final answer
    x = 44,538.89

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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.