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Finding the Fourth Proportional to 49,668, 74,501.64 and 20,085.48

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Solution

The fourth proportional to 49,668, 74,501.64 and 20,085.48 is: 30,128.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,668 : 74,501.64 = 20,085.48 : x
  2. Step 2: Convert to fraction form
    49,668/74,501.64 = 20,085.48/x
  3. Step 3: Cross multiply
    49,668x = 74,501.64 × 20,085.48
  4. Step 4: Simplify right side
    49,668x = 1,496,401,200.19
  5. Step 5: Solve for x
    x = 1,496,401,200.19/49,668
  6. Step 6: Final answer
    x = 30,128.07

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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.