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Finding the Fourth Proportional to 209,409.43, 288,984.79 and 113,915.90

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Solution

The fourth proportional to 209,409.43, 288,984.79 and 113,915.90 is: 157,203.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,409.43 : 288,984.79 = 113,915.90 : x
  2. Step 2: Convert to fraction form
    209,409.43/288,984.79 = 113,915.90/x
  3. Step 3: Cross multiply
    209,409.43x = 288,984.79 × 113,915.90
  4. Step 4: Simplify right side
    209,409.43x = 32,919,960,709.45
  5. Step 5: Solve for x
    x = 32,919,960,709.45/209,409.43
  6. Step 6: Final answer
    x = 157,203.81

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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.