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Finding the Fourth Proportional to 209,967.09, 289,756.28 and 114,474.48

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Solution

The fourth proportional to 209,967.09, 289,756.28 and 114,474.48 is: 157,975.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,967.09 : 289,756.28 = 114,474.48 : x
  2. Step 2: Convert to fraction form
    209,967.09/289,756.28 = 114,474.48/x
  3. Step 3: Cross multiply
    209,967.09x = 289,756.28 × 114,474.48
  4. Step 4: Simplify right side
    209,967.09x = 33,169,699,479.73
  5. Step 5: Solve for x
    x = 33,169,699,479.73/209,967.09
  6. Step 6: Final answer
    x = 157,975.71

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1.5x scale

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.