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Finding the Fourth Proportional to 209,857.80, 314,879.65 and 109,994.25

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Solution

The fourth proportional to 209,857.80, 314,879.65 and 109,994.25 is: 165,040.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,857.80 : 314,879.65 = 109,994.25 : x
  2. Step 2: Convert to fraction form
    209,857.80/314,879.65 = 109,994.25/x
  3. Step 3: Cross multiply
    209,857.80x = 314,879.65 × 109,994.25
  4. Step 4: Simplify right side
    209,857.80x = 34,634,952,466.54
  5. Step 5: Solve for x
    x = 34,634,952,466.54/209,857.80
  6. Step 6: Final answer
    x = 165,040.10

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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.