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Finding the Fourth Proportional to 209,969.10, 314,767.14 and 81,855.85

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Solution

The fourth proportional to 209,969.10, 314,767.14 and 81,855.85 is: 122,711.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,969.10 : 314,767.14 = 81,855.85 : x
  2. Step 2: Convert to fraction form
    209,969.10/314,767.14 = 81,855.85/x
  3. Step 3: Cross multiply
    209,969.10x = 314,767.14 × 81,855.85
  4. Step 4: Simplify right side
    209,969.10x = 25,765,531,796.77
  5. Step 5: Solve for x
    x = 25,765,531,796.77/209,969.10
  6. Step 6: Final answer
    x = 122,711.06

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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.