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Finding the Fourth Proportional to 128,411.56, 177,198.33 and 71,812

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Solution

The fourth proportional to 128,411.56, 177,198.33 and 71,812 is: 99,095.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,411.56 : 177,198.33 = 71,812 : x
  2. Step 2: Convert to fraction form
    128,411.56/177,198.33 = 71,812/x
  3. Step 3: Cross multiply
    128,411.56x = 177,198.33 × 71,812
  4. Step 4: Simplify right side
    128,411.56x = 12,724,966,473.96
  5. Step 5: Solve for x
    x = 12,724,966,473.96/128,411.56
  6. Step 6: Final answer
    x = 99,095.18

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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.