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Finding the Fourth Proportional to 209,958.48, 289,746.72 and 114,469.20

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Solution

The fourth proportional to 209,958.48, 289,746.72 and 114,469.20 is: 157,969.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,958.48 : 289,746.72 = 114,469.20 : x
  2. Step 2: Convert to fraction form
    209,958.48/289,746.72 = 114,469.20/x
  3. Step 3: Cross multiply
    209,958.48x = 289,746.72 × 114,469.20
  4. Step 4: Simplify right side
    209,958.48x = 33,167,075,241.02
  5. Step 5: Solve for x
    x = 33,167,075,241.02/209,958.48
  6. Step 6: Final answer
    x = 157,969.69

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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.