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Finding the Fourth Proportional to 129,969.90, 194,954.85 and 91,916.10

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Solution

The fourth proportional to 129,969.90, 194,954.85 and 91,916.10 is: 137,874.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,969.90 : 194,954.85 = 91,916.10 : x
  2. Step 2: Convert to fraction form
    129,969.90/194,954.85 = 91,916.10/x
  3. Step 3: Cross multiply
    129,969.90x = 194,954.85 × 91,916.10
  4. Step 4: Simplify right side
    129,969.90x = 17,919,489,488.09
  5. Step 5: Solve for x
    x = 17,919,489,488.09/129,969.90
  6. Step 6: Final answer
    x = 137,874.15

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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.