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Finding the Fourth Proportional to 210,105.60, 315,201.60 and 69,964.80

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Solution

The fourth proportional to 210,105.60, 315,201.60 and 69,964.80 is: 104,961.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,105.60 : 315,201.60 = 69,964.80 : x
  2. Step 2: Convert to fraction form
    210,105.60/315,201.60 = 69,964.80/x
  3. Step 3: Cross multiply
    210,105.60x = 315,201.60 × 69,964.80
  4. Step 4: Simplify right side
    210,105.60x = 22,053,016,903.68
  5. Step 5: Solve for x
    x = 22,053,016,903.68/210,105.60
  6. Step 6: Final answer
    x = 104,961.59

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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.