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Finding the Fourth Proportional to 209,883.80, 289,631.21 and 114,388.44

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Solution

The fourth proportional to 209,883.80, 289,631.21 and 114,388.44 is: 157,851.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,883.80 : 289,631.21 = 114,388.44 : x
  2. Step 2: Convert to fraction form
    209,883.80/289,631.21 = 114,388.44/x
  3. Step 3: Cross multiply
    209,883.80x = 289,631.21 × 114,388.44
  4. Step 4: Simplify right side
    209,883.80x = 33,130,461,715.27
  5. Step 5: Solve for x
    x = 33,130,461,715.27/209,883.80
  6. Step 6: Final answer
    x = 157,851.45

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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.