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Finding the Fourth Proportional to 101,729.07, 140,387.81 and 56,408.97

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Solution

The fourth proportional to 101,729.07, 140,387.81 and 56,408.97 is: 77,845.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,729.07 : 140,387.81 = 56,408.97 : x
  2. Step 2: Convert to fraction form
    101,729.07/140,387.81 = 56,408.97/x
  3. Step 3: Cross multiply
    101,729.07x = 140,387.81 × 56,408.97
  4. Step 4: Simplify right side
    101,729.07x = 7,919,131,480.61
  5. Step 5: Solve for x
    x = 7,919,131,480.61/101,729.07
  6. Step 6: Final answer
    x = 77,845.31

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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.