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Finding the Fourth Proportional to 47,321.72, 70,977.06 and 12,258.68

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Solution

The fourth proportional to 47,321.72, 70,977.06 and 12,258.68 is: 18,386.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,321.72 : 70,977.06 = 12,258.68 : x
  2. Step 2: Convert to fraction form
    47,321.72/70,977.06 = 12,258.68/x
  3. Step 3: Cross multiply
    47,321.72x = 70,977.06 × 12,258.68
  4. Step 4: Simplify right side
    47,321.72x = 870,085,065.88
  5. Step 5: Solve for x
    x = 870,085,065.88/47,321.72
  6. Step 6: Final answer
    x = 18,386.59

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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.