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Finding the Fourth Proportional to 128,471.05, 192,705.51 and 100,414.69

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Solution

The fourth proportional to 128,471.05, 192,705.51 and 100,414.69 is: 150,621.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,471.05 : 192,705.51 = 100,414.69 : x
  2. Step 2: Convert to fraction form
    128,471.05/192,705.51 = 100,414.69/x
  3. Step 3: Cross multiply
    128,471.05x = 192,705.51 × 100,414.69
  4. Step 4: Simplify right side
    128,471.05x = 19,350,463,566.18
  5. Step 5: Solve for x
    x = 19,350,463,566.18/128,471.05
  6. Step 6: Final answer
    x = 150,621.20

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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.