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Finding the Fourth Proportional to 81,112.94, 111,911.37 and 47,114.81

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Solution

The fourth proportional to 81,112.94, 111,911.37 and 47,114.81 is: 65,004.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,112.94 : 111,911.37 = 47,114.81 : x
  2. Step 2: Convert to fraction form
    81,112.94/111,911.37 = 47,114.81/x
  3. Step 3: Cross multiply
    81,112.94x = 111,911.37 × 47,114.81
  4. Step 4: Simplify right side
    81,112.94x = 5,272,683,512.34
  5. Step 5: Solve for x
    x = 5,272,683,512.34/81,112.94
  6. Step 6: Final answer
    x = 65,004.22

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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.