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Finding the Fourth Proportional to 248,753.76, 343,289.44 and 141,342

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Solution

The fourth proportional to 248,753.76, 343,289.44 and 141,342 is: 195,057.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,753.76 : 343,289.44 = 141,342 : x
  2. Step 2: Convert to fraction form
    248,753.76/343,289.44 = 141,342/x
  3. Step 3: Cross multiply
    248,753.76x = 343,289.44 × 141,342
  4. Step 4: Simplify right side
    248,753.76x = 48,521,216,028.48
  5. Step 5: Solve for x
    x = 48,521,216,028.48/248,753.76
  6. Step 6: Final answer
    x = 195,057.22

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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.