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Finding the Fourth Proportional to 209,522.64, 289,135.70 and 114,027.29

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Solution

The fourth proportional to 209,522.64, 289,135.70 and 114,027.29 is: 157,354.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,522.64 : 289,135.70 = 114,027.29 : x
  2. Step 2: Convert to fraction form
    209,522.64/289,135.70 = 114,027.29/x
  3. Step 3: Cross multiply
    209,522.64x = 289,135.70 × 114,027.29
  4. Step 4: Simplify right side
    209,522.64x = 32,969,360,313.25
  5. Step 5: Solve for x
    x = 32,969,360,313.25/209,522.64
  6. Step 6: Final answer
    x = 157,354.64

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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.