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Finding the Fourth Proportional to 84,696, 126,998.40 and 28,517.40

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Solution

The fourth proportional to 84,696, 126,998.40 and 28,517.40 is: 42,760.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,696 : 126,998.40 = 28,517.40 : x
  2. Step 2: Convert to fraction form
    84,696/126,998.40 = 28,517.40/x
  3. Step 3: Cross multiply
    84,696x = 126,998.40 × 28,517.40
  4. Step 4: Simplify right side
    84,696x = 3,621,664,172.16
  5. Step 5: Solve for x
    x = 3,621,664,172.16/84,696
  6. Step 6: Final answer
    x = 42,760.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.