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Finding the Fourth Proportional to 209,975.74, 289,772.87 and 114,484.03

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Solution

The fourth proportional to 209,975.74, 289,772.87 and 114,484.03 is: 157,991.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,975.74 : 289,772.87 = 114,484.03 : x
  2. Step 2: Convert to fraction form
    209,975.74/289,772.87 = 114,484.03/x
  3. Step 3: Cross multiply
    209,975.74x = 289,772.87 × 114,484.03
  4. Step 4: Simplify right side
    209,975.74x = 33,174,366,597.37
  5. Step 5: Solve for x
    x = 33,174,366,597.37/209,975.74
  6. Step 6: Final answer
    x = 157,991.42

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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.