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Finding the Fourth Proportional to 129,494.67, 194,241.73 and 40,755.93

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Solution

The fourth proportional to 129,494.67, 194,241.73 and 40,755.93 is: 61,133.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,494.67 : 194,241.73 = 40,755.93 : x
  2. Step 2: Convert to fraction form
    129,494.67/194,241.73 = 40,755.93/x
  3. Step 3: Cross multiply
    129,494.67x = 194,241.73 × 40,755.93
  4. Step 4: Simplify right side
    129,494.67x = 7,916,502,350.96
  5. Step 5: Solve for x
    x = 7,916,502,350.96/129,494.67
  6. Step 6: Final answer
    x = 61,133.81

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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.