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Finding the Fourth Proportional to 197,584, 272,665.92 and 108,160

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Solution

The fourth proportional to 197,584, 272,665.92 and 108,160 is: 149,260.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,584 : 272,665.92 = 108,160 : x
  2. Step 2: Convert to fraction form
    197,584/272,665.92 = 108,160/x
  3. Step 3: Cross multiply
    197,584x = 272,665.92 × 108,160
  4. Step 4: Simplify right side
    197,584x = 29,491,545,907.20
  5. Step 5: Solve for x
    x = 29,491,545,907.20/197,584
  6. Step 6: Final answer
    x = 149,260.80

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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.