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Finding the Fourth Proportional to 209,817.92, 289,538.72 and 119,161.92

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Solution

The fourth proportional to 209,817.92, 289,538.72 and 119,161.92 is: 164,437.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,817.92 : 289,538.72 = 119,161.92 : x
  2. Step 2: Convert to fraction form
    209,817.92/289,538.72 = 119,161.92/x
  3. Step 3: Cross multiply
    209,817.92x = 289,538.72 × 119,161.92
  4. Step 4: Simplify right side
    209,817.92x = 34,501,989,789.54
  5. Step 5: Solve for x
    x = 34,501,989,789.54/209,817.92
  6. Step 6: Final answer
    x = 164,437.76

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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.