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Finding the Fourth Proportional to 101,576.31, 140,072.54 and 67,541.06

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Solution

The fourth proportional to 101,576.31, 140,072.54 and 67,541.06 is: 93,138.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,576.31 : 140,072.54 = 67,541.06 : x
  2. Step 2: Convert to fraction form
    101,576.31/140,072.54 = 67,541.06/x
  3. Step 3: Cross multiply
    101,576.31x = 140,072.54 × 67,541.06
  4. Step 4: Simplify right side
    101,576.31x = 9,460,646,790.42
  5. Step 5: Solve for x
    x = 9,460,646,790.42/101,576.31
  6. Step 6: Final answer
    x = 93,138.32

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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.