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Finding the Fourth Proportional to 53,779, 80,668.50 and 16,843

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Solution

The fourth proportional to 53,779, 80,668.50 and 16,843 is: 25,264.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,779 : 80,668.50 = 16,843 : x
  2. Step 2: Convert to fraction form
    53,779/80,668.50 = 16,843/x
  3. Step 3: Cross multiply
    53,779x = 80,668.50 × 16,843
  4. Step 4: Simplify right side
    53,779x = 1,358,699,545.50
  5. Step 5: Solve for x
    x = 1,358,699,545.50/53,779
  6. Step 6: Final answer
    x = 25,264.50

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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.