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Finding the Fourth Proportional to 120,383.88, 166,074.60 and 77,956.08

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Solution

The fourth proportional to 120,383.88, 166,074.60 and 77,956.08 is: 107,543.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,383.88 : 166,074.60 = 77,956.08 : x
  2. Step 2: Convert to fraction form
    120,383.88/166,074.60 = 77,956.08/x
  3. Step 3: Cross multiply
    120,383.88x = 166,074.60 × 77,956.08
  4. Step 4: Simplify right side
    120,383.88x = 12,946,524,803.57
  5. Step 5: Solve for x
    x = 12,946,524,803.57/120,383.88
  6. Step 6: Final answer
    x = 107,543.67

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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.