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Finding the Fourth Proportional to 105,104, 145,043.60 and 78,269.60

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Solution

The fourth proportional to 105,104, 145,043.60 and 78,269.60 is: 108,012.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,104 : 145,043.60 = 78,269.60 : x
  2. Step 2: Convert to fraction form
    105,104/145,043.60 = 78,269.60/x
  3. Step 3: Cross multiply
    105,104x = 145,043.60 × 78,269.60
  4. Step 4: Simplify right side
    105,104x = 11,352,504,554.56
  5. Step 5: Solve for x
    x = 11,352,504,554.56/105,104
  6. Step 6: Final answer
    x = 108,012.11

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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.