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Finding the Fourth Proportional to 104,969.78, 144,852.93 and 57,218.42

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Solution

The fourth proportional to 104,969.78, 144,852.93 and 57,218.42 is: 78,958.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,969.78 : 144,852.93 = 57,218.42 : x
  2. Step 2: Convert to fraction form
    104,969.78/144,852.93 = 57,218.42/x
  3. Step 3: Cross multiply
    104,969.78x = 144,852.93 × 57,218.42
  4. Step 4: Simplify right side
    104,969.78x = 8,288,255,786.97
  5. Step 5: Solve for x
    x = 8,288,255,786.97/104,969.78
  6. Step 6: Final answer
    x = 78,958.49

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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.