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Finding the Fourth Proportional to 130,980, 196,470 and 47,874

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Solution

The fourth proportional to 130,980, 196,470 and 47,874 is: 71,811

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,980 : 196,470 = 47,874 : x
  2. Step 2: Convert to fraction form
    130,980/196,470 = 47,874/x
  3. Step 3: Cross multiply
    130,980x = 196,470 × 47,874
  4. Step 4: Simplify right side
    130,980x = 9,405,804,780
  5. Step 5: Solve for x
    x = 9,405,804,780/130,980
  6. Step 6: Final answer
    x = 71,811

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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.