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Finding the Fourth Proportional to 248,709.75, 343,219.50 and 135,532.50

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Solution

The fourth proportional to 248,709.75, 343,219.50 and 135,532.50 is: 187,034.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,709.75 : 343,219.50 = 135,532.50 : x
  2. Step 2: Convert to fraction form
    248,709.75/343,219.50 = 135,532.50/x
  3. Step 3: Cross multiply
    248,709.75x = 343,219.50 × 135,532.50
  4. Step 4: Simplify right side
    248,709.75x = 46,517,396,883.75
  5. Step 5: Solve for x
    x = 46,517,396,883.75/248,709.75
  6. Step 6: Final answer
    x = 187,034.87

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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.