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Finding the Fourth Proportional to 83,751.30, 115,586.78 and 47,952.81

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Solution

The fourth proportional to 83,751.30, 115,586.78 and 47,952.81 is: 66,180.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,751.30 : 115,586.78 = 47,952.81 : x
  2. Step 2: Convert to fraction form
    83,751.30/115,586.78 = 47,952.81/x
  3. Step 3: Cross multiply
    83,751.30x = 115,586.78 × 47,952.81
  4. Step 4: Simplify right side
    83,751.30x = 5,542,710,660.09
  5. Step 5: Solve for x
    x = 5,542,710,660.09/83,751.30
  6. Step 6: Final answer
    x = 66,180.59

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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.