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Finding the Fourth Proportional to 53,685, 80,550.24 and 28,718.50

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Solution

The fourth proportional to 53,685, 80,550.24 and 28,718.50 is: 43,089.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,685 : 80,550.24 = 28,718.50 : x
  2. Step 2: Convert to fraction form
    53,685/80,550.24 = 28,718.50/x
  3. Step 3: Cross multiply
    53,685x = 80,550.24 × 28,718.50
  4. Step 4: Simplify right side
    53,685x = 2,313,282,067.44
  5. Step 5: Solve for x
    x = 2,313,282,067.44/53,685
  6. Step 6: Final answer
    x = 43,089.91

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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.