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Finding the Fourth Proportional to 45,412, 62,668.83 and 25,540

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Solution

The fourth proportional to 45,412, 62,668.83 and 25,540 is: 35,245.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,412 : 62,668.83 = 25,540 : x
  2. Step 2: Convert to fraction form
    45,412/62,668.83 = 25,540/x
  3. Step 3: Cross multiply
    45,412x = 62,668.83 × 25,540
  4. Step 4: Simplify right side
    45,412x = 1,600,561,918.20
  5. Step 5: Solve for x
    x = 1,600,561,918.20/45,412
  6. Step 6: Final answer
    x = 35,245.35

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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.