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Finding the Fourth Proportional to 185,596.56, 278,435.79 and 78,974.82

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Solution

The fourth proportional to 185,596.56, 278,435.79 and 78,974.82 is: 118,479.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,596.56 : 278,435.79 = 78,974.82 : x
  2. Step 2: Convert to fraction form
    185,596.56/278,435.79 = 78,974.82/x
  3. Step 3: Cross multiply
    185,596.56x = 278,435.79 × 78,974.82
  4. Step 4: Simplify right side
    185,596.56x = 21,989,416,396.81
  5. Step 5: Solve for x
    x = 21,989,416,396.81/185,596.56
  6. Step 6: Final answer
    x = 118,479.65

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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.