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Finding the Fourth Proportional to 89,668.76, 123,743.82 and 49,383.32

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Solution

The fourth proportional to 89,668.76, 123,743.82 and 49,383.32 is: 68,149.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,668.76 : 123,743.82 = 49,383.32 : x
  2. Step 2: Convert to fraction form
    89,668.76/123,743.82 = 49,383.32/x
  3. Step 3: Cross multiply
    89,668.76x = 123,743.82 × 49,383.32
  4. Step 4: Simplify right side
    89,668.76x = 6,110,880,661.08
  5. Step 5: Solve for x
    x = 6,110,880,661.08/89,668.76
  6. Step 6: Final answer
    x = 68,149.49

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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.