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Finding the Fourth Proportional to 128,980.81, 193,198.65 and 81,571.51

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Solution

The fourth proportional to 128,980.81, 193,198.65 and 81,571.51 is: 122,184.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,980.81 : 193,198.65 = 81,571.51 : x
  2. Step 2: Convert to fraction form
    128,980.81/193,198.65 = 81,571.51/x
  3. Step 3: Cross multiply
    128,980.81x = 193,198.65 × 81,571.51
  4. Step 4: Simplify right side
    128,980.81x = 15,759,505,610.46
  5. Step 5: Solve for x
    x = 15,759,505,610.46/128,980.81
  6. Step 6: Final answer
    x = 122,184.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.