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Finding the Fourth Proportional to 119,138.74, 178,655.60 and 55,976.81

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Solution

The fourth proportional to 119,138.74, 178,655.60 and 55,976.81 is: 83,940.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,138.74 : 178,655.60 = 55,976.81 : x
  2. Step 2: Convert to fraction form
    119,138.74/178,655.60 = 55,976.81/x
  3. Step 3: Cross multiply
    119,138.74x = 178,655.60 × 55,976.81
  4. Step 4: Simplify right side
    119,138.74x = 10,000,569,823.30
  5. Step 5: Solve for x
    x = 10,000,569,823.30/119,138.74
  6. Step 6: Final answer
    x = 83,940.54

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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.