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Finding the Fourth Proportional to 101,840, 140,540.16 and 57,128.96

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Solution

The fourth proportional to 101,840, 140,540.16 and 57,128.96 is: 78,838.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,840 : 140,540.16 = 57,128.96 : x
  2. Step 2: Convert to fraction form
    101,840/140,540.16 = 57,128.96/x
  3. Step 3: Cross multiply
    101,840x = 140,540.16 × 57,128.96
  4. Step 4: Simplify right side
    101,840x = 8,028,913,179.03
  5. Step 5: Solve for x
    x = 8,028,913,179.03/101,840
  6. Step 6: Final answer
    x = 78,838.50

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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.