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Finding the Fourth Proportional to 81,102.42, 111,970.62 and 55,650.60

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Solution

The fourth proportional to 81,102.42, 111,970.62 and 55,650.60 is: 76,831.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,102.42 : 111,970.62 = 55,650.60 : x
  2. Step 2: Convert to fraction form
    81,102.42/111,970.62 = 55,650.60/x
  3. Step 3: Cross multiply
    81,102.42x = 111,970.62 × 55,650.60
  4. Step 4: Simplify right side
    81,102.42x = 6,231,232,185.37
  5. Step 5: Solve for x
    x = 6,231,232,185.37/81,102.42
  6. Step 6: Final answer
    x = 76,831.64

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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.