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Finding the Fourth Proportional to 209,969,307.80, 314,911,971.30 and 100,794,267.80

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Solution

The fourth proportional to 209,969,307.80, 314,911,971.30 and 100,794,267.80 is: 151,171,244.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,969,307.80 : 314,911,971.30 = 100,794,267.80 : x
  2. Step 2: Convert to fraction form
    209,969,307.80/314,911,971.30 = 100,794,267.80/x
  3. Step 3: Cross multiply
    209,969,307.80x = 314,911,971.30 × 100,794,267.80
  4. Step 4: Simplify right side
    209,969,307.80x = 31,741,321,568,638,116
  5. Step 5: Solve for x
    x = 31,741,321,568,638,116/209,969,307.80
  6. Step 6: Final answer
    x = 151,171,244.51

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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.