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Finding the Fourth Proportional to 120,938.70, 181,408.41 and 36,699.54

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Solution

The fourth proportional to 120,938.70, 181,408.41 and 36,699.54 is: 55,049.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,938.70 : 181,408.41 = 36,699.54 : x
  2. Step 2: Convert to fraction form
    120,938.70/181,408.41 = 36,699.54/x
  3. Step 3: Cross multiply
    120,938.70x = 181,408.41 × 36,699.54
  4. Step 4: Simplify right side
    120,938.70x = 6,657,605,199.13
  5. Step 5: Solve for x
    x = 6,657,605,199.13/120,938.70
  6. Step 6: Final answer
    x = 55,049.42

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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.