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Finding the Fourth Proportional to 104,903.31, 144,821.42 and 81,883.77

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Solution

The fourth proportional to 104,903.31, 144,821.42 and 81,883.77 is: 113,042.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,903.31 : 144,821.42 = 81,883.77 : x
  2. Step 2: Convert to fraction form
    104,903.31/144,821.42 = 81,883.77/x
  3. Step 3: Cross multiply
    104,903.31x = 144,821.42 × 81,883.77
  4. Step 4: Simplify right side
    104,903.31x = 11,858,523,436.93
  5. Step 5: Solve for x
    x = 11,858,523,436.93/104,903.31
  6. Step 6: Final answer
    x = 113,042.41

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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.