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Finding the Fourth Proportional to 209,757.37, 289,469.64 and 114,263.86

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Solution

The fourth proportional to 209,757.37, 289,469.64 and 114,263.86 is: 157,686.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,757.37 : 289,469.64 = 114,263.86 : x
  2. Step 2: Convert to fraction form
    209,757.37/289,469.64 = 114,263.86/x
  3. Step 3: Cross multiply
    209,757.37x = 289,469.64 × 114,263.86
  4. Step 4: Simplify right side
    209,757.37x = 33,075,918,419.21
  5. Step 5: Solve for x
    x = 33,075,918,419.21/209,757.37
  6. Step 6: Final answer
    x = 157,686.56

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Why These Related Problems?

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