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Finding the Fourth Proportional to 209,953.46, 289,644.32 and 133,431.54

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Solution

The fourth proportional to 209,953.46, 289,644.32 and 133,431.54 is: 184,077.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,953.46 : 289,644.32 = 133,431.54 : x
  2. Step 2: Convert to fraction form
    209,953.46/289,644.32 = 133,431.54/x
  3. Step 3: Cross multiply
    209,953.46x = 289,644.32 × 133,431.54
  4. Step 4: Simplify right side
    209,953.46x = 38,647,687,669.85
  5. Step 5: Solve for x
    x = 38,647,687,669.85/209,953.46
  6. Step 6: Final answer
    x = 184,077.40

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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.