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Finding the Fourth Proportional to 209,967.34, 289,756.62 and 114,474.73

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Solution

The fourth proportional to 209,967.34, 289,756.62 and 114,474.73 is: 157,976.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,967.34 : 289,756.62 = 114,474.73 : x
  2. Step 2: Convert to fraction form
    209,967.34/289,756.62 = 114,474.73/x
  3. Step 3: Cross multiply
    209,967.34x = 289,756.62 × 114,474.73
  4. Step 4: Simplify right side
    209,967.34x = 33,169,809,391.43
  5. Step 5: Solve for x
    x = 33,169,809,391.43/209,967.34
  6. Step 6: Final answer
    x = 157,976.05

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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.