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Finding the Fourth Proportional to 81,148.81, 111,999.26 and 47,177

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Solution

The fourth proportional to 81,148.81, 111,999.26 and 47,177 is: 65,112.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,148.81 : 111,999.26 = 47,177 : x
  2. Step 2: Convert to fraction form
    81,148.81/111,999.26 = 47,177/x
  3. Step 3: Cross multiply
    81,148.81x = 111,999.26 × 47,177
  4. Step 4: Simplify right side
    81,148.81x = 5,283,789,089.02
  5. Step 5: Solve for x
    x = 5,283,789,089.02/81,148.81
  6. Step 6: Final answer
    x = 65,112.34

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1.5x scale

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.