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Finding the Fourth Proportional to 105,134, 145,046.88 and 80,942.32

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Solution

The fourth proportional to 105,134, 145,046.88 and 80,942.32 is: 111,671.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,134 : 145,046.88 = 80,942.32 : x
  2. Step 2: Convert to fraction form
    105,134/145,046.88 = 80,942.32/x
  3. Step 3: Cross multiply
    105,134x = 145,046.88 × 80,942.32
  4. Step 4: Simplify right side
    105,134x = 11,740,430,975.96
  5. Step 5: Solve for x
    x = 11,740,430,975.96/105,134
  6. Step 6: Final answer
    x = 111,671.11

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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.