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Finding the Fourth Proportional to 147,112.80, 220,377.60 and 80,433.60

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Solution

The fourth proportional to 147,112.80, 220,377.60 and 80,433.60 is: 120,490.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,112.80 : 220,377.60 = 80,433.60 : x
  2. Step 2: Convert to fraction form
    147,112.80/220,377.60 = 80,433.60/x
  3. Step 3: Cross multiply
    147,112.80x = 220,377.60 × 80,433.60
  4. Step 4: Simplify right side
    147,112.80x = 17,725,763,727.36
  5. Step 5: Solve for x
    x = 17,725,763,727.36/147,112.80
  6. Step 6: Final answer
    x = 120,490.97

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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.