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Finding the Fourth Proportional to 209,747.37, 289,455.84 and 114,253.86

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Solution

The fourth proportional to 209,747.37, 289,455.84 and 114,253.86 is: 157,672.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,747.37 : 289,455.84 = 114,253.86 : x
  2. Step 2: Convert to fraction form
    209,747.37/289,455.84 = 114,253.86/x
  3. Step 3: Cross multiply
    209,747.37x = 289,455.84 × 114,253.86
  4. Step 4: Simplify right side
    209,747.37x = 33,071,447,019.54
  5. Step 5: Solve for x
    x = 33,071,447,019.54/209,747.37
  6. Step 6: Final answer
    x = 157,672.76

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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.