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Finding the Fourth Proportional to 101,729.40, 140,388.26 and 56,409.29

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Solution

The fourth proportional to 101,729.40, 140,388.26 and 56,409.29 is: 77,845.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,729.40 : 140,388.26 = 56,409.29 : x
  2. Step 2: Convert to fraction form
    101,729.40/140,388.26 = 56,409.29/x
  3. Step 3: Cross multiply
    101,729.40x = 140,388.26 × 56,409.29
  4. Step 4: Simplify right side
    101,729.40x = 7,919,202,403.09
  5. Step 5: Solve for x
    x = 7,919,202,403.09/101,729.40
  6. Step 6: Final answer
    x = 77,845.76

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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.