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Finding the Fourth Proportional to 209,787.57, 289,512.48 and 114,300.42

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Solution

The fourth proportional to 209,787.57, 289,512.48 and 114,300.42 is: 157,737.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,787.57 : 289,512.48 = 114,300.42 : x
  2. Step 2: Convert to fraction form
    209,787.57/289,512.48 = 114,300.42/x
  3. Step 3: Cross multiply
    209,787.57x = 289,512.48 × 114,300.42
  4. Step 4: Simplify right side
    209,787.57x = 33,091,396,759.26
  5. Step 5: Solve for x
    x = 33,091,396,759.26/209,787.57
  6. Step 6: Final answer
    x = 157,737.64

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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.