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Finding the Fourth Proportional to 71,784.35, 107,668.30 and 19,197.93

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Solution

The fourth proportional to 71,784.35, 107,668.30 and 19,197.93 is: 28,794.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,784.35 : 107,668.30 = 19,197.93 : x
  2. Step 2: Convert to fraction form
    71,784.35/107,668.30 = 19,197.93/x
  3. Step 3: Cross multiply
    71,784.35x = 107,668.30 × 19,197.93
  4. Step 4: Simplify right side
    71,784.35x = 2,067,008,486.62
  5. Step 5: Solve for x
    x = 2,067,008,486.62/71,784.35
  6. Step 6: Final answer
    x = 28,794.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.