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Finding the Fourth Proportional to 208,033.92, 287,064 and 118,609.92

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Solution

The fourth proportional to 208,033.92, 287,064 and 118,609.92 is: 163,668.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,033.92 : 287,064 = 118,609.92 : x
  2. Step 2: Convert to fraction form
    208,033.92/287,064 = 118,609.92/x
  3. Step 3: Cross multiply
    208,033.92x = 287,064 × 118,609.92
  4. Step 4: Simplify right side
    208,033.92x = 34,048,638,074.88
  5. Step 5: Solve for x
    x = 34,048,638,074.88/208,033.92
  6. Step 6: Final answer
    x = 163,668.68

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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.