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Finding the Fourth Proportional to 104,689.31, 144,409.75 and 65,865.41

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Solution

The fourth proportional to 104,689.31, 144,409.75 and 65,865.41 is: 90,855.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,689.31 : 144,409.75 = 65,865.41 : x
  2. Step 2: Convert to fraction form
    104,689.31/144,409.75 = 65,865.41/x
  3. Step 3: Cross multiply
    104,689.31x = 144,409.75 × 65,865.41
  4. Step 4: Simplify right side
    104,689.31x = 9,511,607,391.75
  5. Step 5: Solve for x
    x = 9,511,607,391.75/104,689.31
  6. Step 6: Final answer
    x = 90,855.57

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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.