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Finding the Fourth Proportional to 48,906.78, 73,360.20 and 11,970.78

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Solution

The fourth proportional to 48,906.78, 73,360.20 and 11,970.78 is: 17,956.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,906.78 : 73,360.20 = 11,970.78 : x
  2. Step 2: Convert to fraction form
    48,906.78/73,360.20 = 11,970.78/x
  3. Step 3: Cross multiply
    48,906.78x = 73,360.20 × 11,970.78
  4. Step 4: Simplify right side
    48,906.78x = 878,178,814.96
  5. Step 5: Solve for x
    x = 878,178,814.96/48,906.78
  6. Step 6: Final answer
    x = 17,956.18

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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.