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Finding the Fourth Proportional to 248,517.50, 342,986.56 and 147,915.50

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Solution

The fourth proportional to 248,517.50, 342,986.56 and 147,915.50 is: 204,142.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,517.50 : 342,986.56 = 147,915.50 : x
  2. Step 2: Convert to fraction form
    248,517.50/342,986.56 = 147,915.50/x
  3. Step 3: Cross multiply
    248,517.50x = 342,986.56 × 147,915.50
  4. Step 4: Simplify right side
    248,517.50x = 50,733,028,515.68
  5. Step 5: Solve for x
    x = 50,733,028,515.68/248,517.50
  6. Step 6: Final answer
    x = 204,142.68

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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.