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Finding the Fourth Proportional to 129,600, 194,400 and 31,104

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Solution

The fourth proportional to 129,600, 194,400 and 31,104 is: 46,656

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,600 : 194,400 = 31,104 : x
  2. Step 2: Convert to fraction form
    129,600/194,400 = 31,104/x
  3. Step 3: Cross multiply
    129,600x = 194,400 × 31,104
  4. Step 4: Simplify right side
    129,600x = 6,046,617,600
  5. Step 5: Solve for x
    x = 6,046,617,600/129,600
  6. Step 6: Final answer
    x = 46,656

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.