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Finding the Fourth Proportional to 115,958.56, 160,099.56 and 89,052.78

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Solution

The fourth proportional to 115,958.56, 160,099.56 and 89,052.78 is: 122,951.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,958.56 : 160,099.56 = 89,052.78 : x
  2. Step 2: Convert to fraction form
    115,958.56/160,099.56 = 89,052.78/x
  3. Step 3: Cross multiply
    115,958.56x = 160,099.56 × 89,052.78
  4. Step 4: Simplify right side
    115,958.56x = 14,257,310,894.78
  5. Step 5: Solve for x
    x = 14,257,310,894.78/115,958.56
  6. Step 6: Final answer
    x = 122,951.78

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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.