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Finding the Fourth Proportional to 248,378, 342,761.68 and 135,201.60

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Solution

The fourth proportional to 248,378, 342,761.68 and 135,201.60 is: 186,578.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,378 : 342,761.68 = 135,201.60 : x
  2. Step 2: Convert to fraction form
    248,378/342,761.68 = 135,201.60/x
  3. Step 3: Cross multiply
    248,378x = 342,761.68 × 135,201.60
  4. Step 4: Simplify right side
    248,378x = 46,341,927,554.69
  5. Step 5: Solve for x
    x = 46,341,927,554.69/248,378
  6. Step 6: Final answer
    x = 186,578.23

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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.