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Finding the Fourth Proportional to 127,578.78, 176,080.30 and 73,896.48

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Solution

The fourth proportional to 127,578.78, 176,080.30 and 73,896.48 is: 101,989.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,578.78 : 176,080.30 = 73,896.48 : x
  2. Step 2: Convert to fraction form
    127,578.78/176,080.30 = 73,896.48/x
  3. Step 3: Cross multiply
    127,578.78x = 176,080.30 × 73,896.48
  4. Step 4: Simplify right side
    127,578.78x = 13,011,714,367.34
  5. Step 5: Solve for x
    x = 13,011,714,367.34/127,578.78
  6. Step 6: Final answer
    x = 101,989.64

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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.