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Finding the Fourth Proportional to 129,969.90, 194,954.85 and 41,230.35

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Solution

The fourth proportional to 129,969.90, 194,954.85 and 41,230.35 is: 61,845.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,969.90 : 194,954.85 = 41,230.35 : x
  2. Step 2: Convert to fraction form
    129,969.90/194,954.85 = 41,230.35/x
  3. Step 3: Cross multiply
    129,969.90x = 194,954.85 × 41,230.35
  4. Step 4: Simplify right side
    129,969.90x = 8,038,056,699.70
  5. Step 5: Solve for x
    x = 8,038,056,699.70/129,969.90
  6. Step 6: Final answer
    x = 61,845.53

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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.