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Finding the Fourth Proportional to 178,974.75, 246,970.56 and 105,375.57

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Solution

The fourth proportional to 178,974.75, 246,970.56 and 105,375.57 is: 145,409.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,974.75 : 246,970.56 = 105,375.57 : x
  2. Step 2: Convert to fraction form
    178,974.75/246,970.56 = 105,375.57/x
  3. Step 3: Cross multiply
    178,974.75x = 246,970.56 × 105,375.57
  4. Step 4: Simplify right side
    178,974.75x = 26,024,663,533.22
  5. Step 5: Solve for x
    x = 26,024,663,533.22/178,974.75
  6. Step 6: Final answer
    x = 145,409.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.