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Finding the Fourth Proportional to 102,067.62, 140,841.00 and 56,739.79

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Solution

The fourth proportional to 102,067.62, 140,841.00 and 56,739.79 is: 78,294.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,067.62 : 140,841.00 = 56,739.79 : x
  2. Step 2: Convert to fraction form
    102,067.62/140,841.00 = 56,739.79/x
  3. Step 3: Cross multiply
    102,067.62x = 140,841.00 × 56,739.79
  4. Step 4: Simplify right side
    102,067.62x = 7,991,288,479.69
  5. Step 5: Solve for x
    x = 7,991,288,479.69/102,067.62
  6. Step 6: Final answer
    x = 78,294.06

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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.