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Finding the Fourth Proportional to 209,890.32, 289,640.16 and 114,394.96

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Solution

The fourth proportional to 209,890.32, 289,640.16 and 114,394.96 is: 157,860.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,890.32 : 289,640.16 = 114,394.96 : x
  2. Step 2: Convert to fraction form
    209,890.32/289,640.16 = 114,394.96/x
  3. Step 3: Cross multiply
    209,890.32x = 289,640.16 × 114,394.96
  4. Step 4: Simplify right side
    209,890.32x = 33,133,374,517.59
  5. Step 5: Solve for x
    x = 33,133,374,517.59/209,890.32
  6. Step 6: Final answer
    x = 157,860.42

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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.