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Finding the Fourth Proportional to 254,371.50, 381,564.54 and 67,383

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Solution

The fourth proportional to 254,371.50, 381,564.54 and 67,383 is: 101,076.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,371.50 : 381,564.54 = 67,383 : x
  2. Step 2: Convert to fraction form
    254,371.50/381,564.54 = 67,383/x
  3. Step 3: Cross multiply
    254,371.50x = 381,564.54 × 67,383
  4. Step 4: Simplify right side
    254,371.50x = 25,710,963,398.82
  5. Step 5: Solve for x
    x = 25,710,963,398.82/254,371.50
  6. Step 6: Final answer
    x = 101,076.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.