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Finding the Fourth Proportional to 47,319.22, 70,978.83 and 12,258.88

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Solution

The fourth proportional to 47,319.22, 70,978.83 and 12,258.88 is: 18,388.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,319.22 : 70,978.83 = 12,258.88 : x
  2. Step 2: Convert to fraction form
    47,319.22/70,978.83 = 12,258.88/x
  3. Step 3: Cross multiply
    47,319.22x = 70,978.83 × 12,258.88
  4. Step 4: Simplify right side
    47,319.22x = 870,120,959.51
  5. Step 5: Solve for x
    x = 870,120,959.51/47,319.22
  6. Step 6: Final answer
    x = 18,388.32

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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.