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Finding the Fourth Proportional to 197,433, 272,457.72 and 108,009

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Solution

The fourth proportional to 197,433, 272,457.72 and 108,009 is: 149,052.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,433 : 272,457.72 = 108,009 : x
  2. Step 2: Convert to fraction form
    197,433/272,457.72 = 108,009/x
  3. Step 3: Cross multiply
    197,433x = 272,457.72 × 108,009
  4. Step 4: Simplify right side
    197,433x = 29,427,885,879.48
  5. Step 5: Solve for x
    x = 29,427,885,879.48/197,433
  6. Step 6: Final answer
    x = 149,052.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.