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Finding the Fourth Proportional to 267,076.90, 400,664.76 and 84,754

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Solution

The fourth proportional to 267,076.90, 400,664.76 and 84,754 is: 127,146.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,076.90 : 400,664.76 = 84,754 : x
  2. Step 2: Convert to fraction form
    267,076.90/400,664.76 = 84,754/x
  3. Step 3: Cross multiply
    267,076.90x = 400,664.76 × 84,754
  4. Step 4: Simplify right side
    267,076.90x = 33,957,941,069.04
  5. Step 5: Solve for x
    x = 33,957,941,069.04/267,076.90
  6. Step 6: Final answer
    x = 127,146.68

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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.