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Finding the Fourth Proportional to 248,710.25, 343,220.19 and 135,533

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Solution

The fourth proportional to 248,710.25, 343,220.19 and 135,533 is: 187,035.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,710.25 : 343,220.19 = 135,533 : x
  2. Step 2: Convert to fraction form
    248,710.25/343,220.19 = 135,533/x
  3. Step 3: Cross multiply
    248,710.25x = 343,220.19 × 135,533
  4. Step 4: Simplify right side
    248,710.25x = 46,517,662,011.27
  5. Step 5: Solve for x
    x = 46,517,662,011.27/248,710.25
  6. Step 6: Final answer
    x = 187,035.56

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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.