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Finding the Fourth Proportional to 119,143.45, 178,662.69 and 55,981.54

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Solution

The fourth proportional to 119,143.45, 178,662.69 and 55,981.54 is: 83,947.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,143.45 : 178,662.69 = 55,981.54 : x
  2. Step 2: Convert to fraction form
    119,143.45/178,662.69 = 55,981.54/x
  3. Step 3: Cross multiply
    119,143.45x = 178,662.69 × 55,981.54
  4. Step 4: Simplify right side
    119,143.45x = 10,001,811,353.52
  5. Step 5: Solve for x
    x = 10,001,811,353.52/119,143.45
  6. Step 6: Final answer
    x = 83,947.64

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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.