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Finding the Fourth Proportional to 248,709.25, 343,218.81 and 135,532

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Solution

The fourth proportional to 248,709.25, 343,218.81 and 135,532 is: 187,034.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,709.25 : 343,218.81 = 135,532 : x
  2. Step 2: Convert to fraction form
    248,709.25/343,218.81 = 135,532/x
  3. Step 3: Cross multiply
    248,709.25x = 343,218.81 × 135,532
  4. Step 4: Simplify right side
    248,709.25x = 46,517,131,756.92
  5. Step 5: Solve for x
    x = 46,517,131,756.92/248,709.25
  6. Step 6: Final answer
    x = 187,034.18

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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.