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Finding the Fourth Proportional to 248,420, 342,906 and 147,815.84

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Solution

The fourth proportional to 248,420, 342,906 and 147,815.84 is: 204,037.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,420 : 342,906 = 147,815.84 : x
  2. Step 2: Convert to fraction form
    248,420/342,906 = 147,815.84/x
  3. Step 3: Cross multiply
    248,420x = 342,906 × 147,815.84
  4. Step 4: Simplify right side
    248,420x = 50,686,938,431.04
  5. Step 5: Solve for x
    x = 50,686,938,431.04/248,420
  6. Step 6: Final answer
    x = 204,037.27

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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.