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Finding the Fourth Proportional to 209,900.74, 289,662.60 and 114,407.14

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Solution

The fourth proportional to 209,900.74, 289,662.60 and 114,407.14 is: 157,881.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,900.74 : 289,662.60 = 114,407.14 : x
  2. Step 2: Convert to fraction form
    209,900.74/289,662.60 = 114,407.14/x
  3. Step 3: Cross multiply
    209,900.74x = 289,662.60 × 114,407.14
  4. Step 4: Simplify right side
    209,900.74x = 33,139,469,630.96
  5. Step 5: Solve for x
    x = 33,139,469,630.96/209,900.74
  6. Step 6: Final answer
    x = 157,881.62

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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.