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Finding the Fourth Proportional to 80,583.81, 120,709.59 and 47,202.67

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Solution

The fourth proportional to 80,583.81, 120,709.59 and 47,202.67 is: 70,706.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,583.81 : 120,709.59 = 47,202.67 : x
  2. Step 2: Convert to fraction form
    80,583.81/120,709.59 = 47,202.67/x
  3. Step 3: Cross multiply
    80,583.81x = 120,709.59 × 47,202.67
  4. Step 4: Simplify right side
    80,583.81x = 5,697,815,060.61
  5. Step 5: Solve for x
    x = 5,697,815,060.61/80,583.81
  6. Step 6: Final answer
    x = 70,706.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.