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Finding the Fourth Proportional to 209,294.73, 288,825.30 and 113,801.49

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Solution

The fourth proportional to 209,294.73, 288,825.30 and 113,801.49 is: 157,045.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,294.73 : 288,825.30 = 113,801.49 : x
  2. Step 2: Convert to fraction form
    209,294.73/288,825.30 = 113,801.49/x
  3. Step 3: Cross multiply
    209,294.73x = 288,825.30 × 113,801.49
  4. Step 4: Simplify right side
    209,294.73x = 32,868,749,489.70
  5. Step 5: Solve for x
    x = 32,868,749,489.70/209,294.73
  6. Step 6: Final answer
    x = 157,045.28

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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.