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Finding the Fourth Proportional to 80,730.44, 120,907.72 and 77,927.32

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Solution

The fourth proportional to 80,730.44, 120,907.72 and 77,927.32 is: 116,709.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,730.44 : 120,907.72 = 77,927.32 : x
  2. Step 2: Convert to fraction form
    80,730.44/120,907.72 = 77,927.32/x
  3. Step 3: Cross multiply
    80,730.44x = 120,907.72 × 77,927.32
  4. Step 4: Simplify right side
    80,730.44x = 9,422,014,586.91
  5. Step 5: Solve for x
    x = 9,422,014,586.91/80,730.44
  6. Step 6: Final answer
    x = 116,709.57

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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.