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Finding the Fourth Proportional to 248,377.25, 342,760.65 and 135,200

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Solution

The fourth proportional to 248,377.25, 342,760.65 and 135,200 is: 186,576.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,377.25 : 342,760.65 = 135,200 : x
  2. Step 2: Convert to fraction form
    248,377.25/342,760.65 = 135,200/x
  3. Step 3: Cross multiply
    248,377.25x = 342,760.65 × 135,200
  4. Step 4: Simplify right side
    248,377.25x = 46,341,239,880
  5. Step 5: Solve for x
    x = 46,341,239,880/248,377.25
  6. Step 6: Final answer
    x = 186,576.02

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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.