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Finding the Fourth Proportional to 195,552, 269,861.76 and 106,128

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Solution

The fourth proportional to 195,552, 269,861.76 and 106,128 is: 146,456.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,552 : 269,861.76 = 106,128 : x
  2. Step 2: Convert to fraction form
    195,552/269,861.76 = 106,128/x
  3. Step 3: Cross multiply
    195,552x = 269,861.76 × 106,128
  4. Step 4: Simplify right side
    195,552x = 28,639,888,865.28
  5. Step 5: Solve for x
    x = 28,639,888,865.28/195,552
  6. Step 6: Final answer
    x = 146,456.64

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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.