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Finding the Fourth Proportional to 120,813.52, 181,174.11 and 39,741.68

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Solution

The fourth proportional to 120,813.52, 181,174.11 and 39,741.68 is: 59,597.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,813.52 : 181,174.11 = 39,741.68 : x
  2. Step 2: Convert to fraction form
    120,813.52/181,174.11 = 39,741.68/x
  3. Step 3: Cross multiply
    120,813.52x = 181,174.11 × 39,741.68
  4. Step 4: Simplify right side
    120,813.52x = 7,200,163,503.90
  5. Step 5: Solve for x
    x = 7,200,163,503.90/120,813.52
  6. Step 6: Final answer
    x = 59,597.33

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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.