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Finding the Fourth Proportional to 144,957.35, 200,042.82 and 80,427.80

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Solution

The fourth proportional to 144,957.35, 200,042.82 and 80,427.80 is: 110,991.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,957.35 : 200,042.82 = 80,427.80 : x
  2. Step 2: Convert to fraction form
    144,957.35/200,042.82 = 80,427.80/x
  3. Step 3: Cross multiply
    144,957.35x = 200,042.82 × 80,427.80
  4. Step 4: Simplify right side
    144,957.35x = 16,089,003,918.40
  5. Step 5: Solve for x
    x = 16,089,003,918.40/144,957.35
  6. Step 6: Final answer
    x = 110,991.29

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1.5x scale

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.