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Finding the Fourth Proportional to 248,284, 342,631.92 and 135,107.56

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Solution

The fourth proportional to 248,284, 342,631.92 and 135,107.56 is: 186,448.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,284 : 342,631.92 = 135,107.56 : x
  2. Step 2: Convert to fraction form
    248,284/342,631.92 = 135,107.56/x
  3. Step 3: Cross multiply
    248,284x = 342,631.92 × 135,107.56
  4. Step 4: Simplify right side
    248,284x = 46,292,162,689.32
  5. Step 5: Solve for x
    x = 46,292,162,689.32/248,284
  6. Step 6: Final answer
    x = 186,448.43

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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.