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Finding the Fourth Proportional to 177,978.64, 245,586.78 and 102,512.56

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Solution

The fourth proportional to 177,978.64, 245,586.78 and 102,512.56 is: 141,453.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,978.64 : 245,586.78 = 102,512.56 : x
  2. Step 2: Convert to fraction form
    177,978.64/245,586.78 = 102,512.56/x
  3. Step 3: Cross multiply
    177,978.64x = 245,586.78 × 102,512.56
  4. Step 4: Simplify right side
    177,978.64x = 25,175,729,519.96
  5. Step 5: Solve for x
    x = 25,175,729,519.96/177,978.64
  6. Step 6: Final answer
    x = 141,453.66

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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.