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Finding the Fourth Proportional to 128,901.87, 193,362.05 and 53,946.56

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Solution

The fourth proportional to 128,901.87, 193,362.05 and 53,946.56 is: 80,923.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,901.87 : 193,362.05 = 53,946.56 : x
  2. Step 2: Convert to fraction form
    128,901.87/193,362.05 = 53,946.56/x
  3. Step 3: Cross multiply
    128,901.87x = 193,362.05 × 53,946.56
  4. Step 4: Simplify right side
    128,901.87x = 10,431,218,050.32
  5. Step 5: Solve for x
    x = 10,431,218,050.32/128,901.87
  6. Step 6: Final answer
    x = 80,923.71

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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.