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Finding the Fourth Proportional to 228,448.98, 342,696.42 and 78,669.54

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Solution

The fourth proportional to 228,448.98, 342,696.42 and 78,669.54 is: 118,012.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,448.98 : 342,696.42 = 78,669.54 : x
  2. Step 2: Convert to fraction form
    228,448.98/342,696.42 = 78,669.54/x
  3. Step 3: Cross multiply
    228,448.98x = 342,696.42 × 78,669.54
  4. Step 4: Simplify right side
    228,448.98x = 26,959,769,721.05
  5. Step 5: Solve for x
    x = 26,959,769,721.05/228,448.98
  6. Step 6: Final answer
    x = 118,012.21

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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.