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Finding the Fourth Proportional to 129,603.88, 194,405.82 and 31,107.88

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Solution

The fourth proportional to 129,603.88, 194,405.82 and 31,107.88 is: 46,661.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,603.88 : 194,405.82 = 31,107.88 : x
  2. Step 2: Convert to fraction form
    129,603.88/194,405.82 = 31,107.88/x
  3. Step 3: Cross multiply
    129,603.88x = 194,405.82 × 31,107.88
  4. Step 4: Simplify right side
    129,603.88x = 6,047,551,792.29
  5. Step 5: Solve for x
    x = 6,047,551,792.29/129,603.88
  6. Step 6: Final answer
    x = 46,661.81

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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.