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Finding the Fourth Proportional to 209,752.37, 289,462.74 and 114,258.86

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Solution

The fourth proportional to 209,752.37, 289,462.74 and 114,258.86 is: 157,679.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,752.37 : 289,462.74 = 114,258.86 : x
  2. Step 2: Convert to fraction form
    209,752.37/289,462.74 = 114,258.86/x
  3. Step 3: Cross multiply
    209,752.37x = 289,462.74 × 114,258.86
  4. Step 4: Simplify right side
    209,752.37x = 33,073,682,684.88
  5. Step 5: Solve for x
    x = 33,073,682,684.88/209,752.37
  6. Step 6: Final answer
    x = 157,679.66

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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.