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Finding the Fourth Proportional to 209,518.25, 289,129.64 and 114,022.90

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Solution

The fourth proportional to 209,518.25, 289,129.64 and 114,022.90 is: 157,348.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,518.25 : 289,129.64 = 114,022.90 : x
  2. Step 2: Convert to fraction form
    209,518.25/289,129.64 = 114,022.90/x
  3. Step 3: Cross multiply
    209,518.25x = 289,129.64 × 114,022.90
  4. Step 4: Simplify right side
    209,518.25x = 32,967,400,028.76
  5. Step 5: Solve for x
    x = 32,967,400,028.76/209,518.25
  6. Step 6: Final answer
    x = 157,348.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.