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Finding the Fourth Proportional to 101,745.86, 140,408.57 and 56,423.79

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Solution

The fourth proportional to 101,745.86, 140,408.57 and 56,423.79 is: 77,864.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,745.86 : 140,408.57 = 56,423.79 : x
  2. Step 2: Convert to fraction form
    101,745.86/140,408.57 = 56,423.79/x
  3. Step 3: Cross multiply
    101,745.86x = 140,408.57 × 56,423.79
  4. Step 4: Simplify right side
    101,745.86x = 7,922,383,808.94
  5. Step 5: Solve for x
    x = 7,922,383,808.94/101,745.86
  6. Step 6: Final answer
    x = 77,864.44

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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.