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Finding the Fourth Proportional to 285,768.15, 428,668.63 and 86,067.71

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Solution

The fourth proportional to 285,768.15, 428,668.63 and 86,067.71 is: 129,106.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,768.15 : 428,668.63 = 86,067.71 : x
  2. Step 2: Convert to fraction form
    285,768.15/428,668.63 = 86,067.71/x
  3. Step 3: Cross multiply
    285,768.15x = 428,668.63 × 86,067.71
  4. Step 4: Simplify right side
    285,768.15x = 36,894,529,235.26
  5. Step 5: Solve for x
    x = 36,894,529,235.26/285,768.15
  6. Step 6: Final answer
    x = 129,106.51

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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.