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Finding the Fourth Proportional to 80,477.92, 120,716.90 and 30,558.06

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Solution

The fourth proportional to 80,477.92, 120,716.90 and 30,558.06 is: 45,837.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,477.92 : 120,716.90 = 30,558.06 : x
  2. Step 2: Convert to fraction form
    80,477.92/120,716.90 = 30,558.06/x
  3. Step 3: Cross multiply
    80,477.92x = 120,716.90 × 30,558.06
  4. Step 4: Simplify right side
    80,477.92x = 3,688,874,235.02
  5. Step 5: Solve for x
    x = 3,688,874,235.02/80,477.92
  6. Step 6: Final answer
    x = 45,837.10

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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.