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Finding the Fourth Proportional to 101,847, 140,549.82 and 57,135.96

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Solution

The fourth proportional to 101,847, 140,549.82 and 57,135.96 is: 78,848.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,847 : 140,549.82 = 57,135.96 : x
  2. Step 2: Convert to fraction form
    101,847/140,549.82 = 57,135.96/x
  3. Step 3: Cross multiply
    101,847x = 140,549.82 × 57,135.96
  4. Step 4: Simplify right side
    101,847x = 8,030,448,893.53
  5. Step 5: Solve for x
    x = 8,030,448,893.53/101,847
  6. Step 6: Final answer
    x = 78,848.16

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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.