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Finding the Fourth Proportional to 120,925.29, 166,951.59 and 77,919.96

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Solution

The fourth proportional to 120,925.29, 166,951.59 and 77,919.96 is: 107,577.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,925.29 : 166,951.59 = 77,919.96 : x
  2. Step 2: Convert to fraction form
    120,925.29/166,951.59 = 77,919.96/x
  3. Step 3: Cross multiply
    120,925.29x = 166,951.59 × 77,919.96
  4. Step 4: Simplify right side
    120,925.29x = 13,008,861,214.74
  5. Step 5: Solve for x
    x = 13,008,861,214.74/120,925.29
  6. Step 6: Final answer
    x = 107,577.67

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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.