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Finding the Fourth Proportional to 80,317.80, 120,477.96 and 30,421.26

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Solution

The fourth proportional to 80,317.80, 120,477.96 and 30,421.26 is: 45,632.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,317.80 : 120,477.96 = 30,421.26 : x
  2. Step 2: Convert to fraction form
    80,317.80/120,477.96 = 30,421.26/x
  3. Step 3: Cross multiply
    80,317.80x = 120,477.96 × 30,421.26
  4. Step 4: Simplify right side
    80,317.80x = 3,665,091,345.43
  5. Step 5: Solve for x
    x = 3,665,091,345.43/80,317.80
  6. Step 6: Final answer
    x = 45,632.37

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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.