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Finding the Fourth Proportional to 208,668.36, 313,025.10 and 66,480.10

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Solution

The fourth proportional to 208,668.36, 313,025.10 and 66,480.10 is: 99,727.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,668.36 : 313,025.10 = 66,480.10 : x
  2. Step 2: Convert to fraction form
    208,668.36/313,025.10 = 66,480.10/x
  3. Step 3: Cross multiply
    208,668.36x = 313,025.10 × 66,480.10
  4. Step 4: Simplify right side
    208,668.36x = 20,809,939,950.51
  5. Step 5: Solve for x
    x = 20,809,939,950.51/208,668.36
  6. Step 6: Final answer
    x = 99,727.34

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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.