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Finding the Fourth Proportional to 69,502.31, 95,914.67 and 39,285.83

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Solution

The fourth proportional to 69,502.31, 95,914.67 and 39,285.83 is: 54,215.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,502.31 : 95,914.67 = 39,285.83 : x
  2. Step 2: Convert to fraction form
    69,502.31/95,914.67 = 39,285.83/x
  3. Step 3: Cross multiply
    69,502.31x = 95,914.67 × 39,285.83
  4. Step 4: Simplify right side
    69,502.31x = 3,768,086,744.12
  5. Step 5: Solve for x
    x = 3,768,086,744.12/69,502.31
  6. Step 6: Final answer
    x = 54,215.28

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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.