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Finding the Fourth Proportional to 101,872.31, 140,576.75 and 56,546.73

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Solution

The fourth proportional to 101,872.31, 140,576.75 and 56,546.73 is: 78,030.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,872.31 : 140,576.75 = 56,546.73 : x
  2. Step 2: Convert to fraction form
    101,872.31/140,576.75 = 56,546.73/x
  3. Step 3: Cross multiply
    101,872.31x = 140,576.75 × 56,546.73
  4. Step 4: Simplify right side
    101,872.31x = 7,949,155,526.53
  5. Step 5: Solve for x
    x = 7,949,155,526.53/101,872.31
  6. Step 6: Final answer
    x = 78,030.58

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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.