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Finding the Fourth Proportional to 120,356.70, 166,094.85 and 65,911.16

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Solution

The fourth proportional to 120,356.70, 166,094.85 and 65,911.16 is: 90,958.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,356.70 : 166,094.85 = 65,911.16 : x
  2. Step 2: Convert to fraction form
    120,356.70/166,094.85 = 65,911.16/x
  3. Step 3: Cross multiply
    120,356.70x = 166,094.85 × 65,911.16
  4. Step 4: Simplify right side
    120,356.70x = 10,947,503,403.05
  5. Step 5: Solve for x
    x = 10,947,503,403.05/120,356.70
  6. Step 6: Final answer
    x = 90,958.82

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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.