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Finding the Fourth Proportional to 80,675.87, 120,847.35 and 47,294.56

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Solution

The fourth proportional to 80,675.87, 120,847.35 and 47,294.56 is: 70,844.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,675.87 : 120,847.35 = 47,294.56 : x
  2. Step 2: Convert to fraction form
    80,675.87/120,847.35 = 47,294.56/x
  3. Step 3: Cross multiply
    80,675.87x = 120,847.35 × 47,294.56
  4. Step 4: Simplify right side
    80,675.87x = 5,715,421,641.18
  5. Step 5: Solve for x
    x = 5,715,421,641.18/80,675.87
  6. Step 6: Final answer
    x = 70,844.25

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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.