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Finding the Fourth Proportional to 120,550.63, 180,808.17 and 31,810.37

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Solution

The fourth proportional to 120,550.63, 180,808.17 and 31,810.37 is: 47,710.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,550.63 : 180,808.17 = 31,810.37 : x
  2. Step 2: Convert to fraction form
    120,550.63/180,808.17 = 31,810.37/x
  3. Step 3: Cross multiply
    120,550.63x = 180,808.17 × 31,810.37
  4. Step 4: Simplify right side
    120,550.63x = 5,751,575,048.84
  5. Step 5: Solve for x
    x = 5,751,575,048.84/120,550.63
  6. Step 6: Final answer
    x = 47,710.87

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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.