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Finding the Fourth Proportional to 209,185.62, 313,911.87 and 76,053.10

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Solution

The fourth proportional to 209,185.62, 313,911.87 and 76,053.10 is: 114,128.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,185.62 : 313,911.87 = 76,053.10 : x
  2. Step 2: Convert to fraction form
    209,185.62/313,911.87 = 76,053.10/x
  3. Step 3: Cross multiply
    209,185.62x = 313,911.87 × 76,053.10
  4. Step 4: Simplify right side
    209,185.62x = 23,873,970,840.30
  5. Step 5: Solve for x
    x = 23,873,970,840.30/209,185.62
  6. Step 6: Final answer
    x = 114,128.16

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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.