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Finding the Fourth Proportional to 130,412.97, 179,976.65 and 73,048.92

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Solution

The fourth proportional to 130,412.97, 179,976.65 and 73,048.92 is: 100,811.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,412.97 : 179,976.65 = 73,048.92 : x
  2. Step 2: Convert to fraction form
    130,412.97/179,976.65 = 73,048.92/x
  3. Step 3: Cross multiply
    130,412.97x = 179,976.65 × 73,048.92
  4. Step 4: Simplify right side
    130,412.97x = 13,147,099,542.47
  5. Step 5: Solve for x
    x = 13,147,099,542.47/130,412.97
  6. Step 6: Final answer
    x = 100,811.29

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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.