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Finding the Fourth Proportional to 129,719, 194,578.56 and 31,223

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Solution

The fourth proportional to 129,719, 194,578.56 and 31,223 is: 46,834.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,719 : 194,578.56 = 31,223 : x
  2. Step 2: Convert to fraction form
    129,719/194,578.56 = 31,223/x
  3. Step 3: Cross multiply
    129,719x = 194,578.56 × 31,223
  4. Step 4: Simplify right side
    129,719x = 6,075,326,378.88
  5. Step 5: Solve for x
    x = 6,075,326,378.88/129,719
  6. Step 6: Final answer
    x = 46,834.51

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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.