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Finding the Fourth Proportional to 130,008, 195,012 and 31,512

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Solution

The fourth proportional to 130,008, 195,012 and 31,512 is: 47,268

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,008 : 195,012 = 31,512 : x
  2. Step 2: Convert to fraction form
    130,008/195,012 = 31,512/x
  3. Step 3: Cross multiply
    130,008x = 195,012 × 31,512
  4. Step 4: Simplify right side
    130,008x = 6,145,218,144
  5. Step 5: Solve for x
    x = 6,145,218,144/130,008
  6. Step 6: Final answer
    x = 47,268

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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.