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Finding the Fourth Proportional to 102,067, 140,853.18 and 57,355

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Solution

The fourth proportional to 102,067, 140,853.18 and 57,355 is: 79,150.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,067 : 140,853.18 = 57,355 : x
  2. Step 2: Convert to fraction form
    102,067/140,853.18 = 57,355/x
  3. Step 3: Cross multiply
    102,067x = 140,853.18 × 57,355
  4. Step 4: Simplify right side
    102,067x = 8,078,634,138.90
  5. Step 5: Solve for x
    x = 8,078,634,138.90/102,067
  6. Step 6: Final answer
    x = 79,150.30

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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.