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Finding the Fourth Proportional to 146,990.82, 202,843.47 and 83,328.54

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Solution

The fourth proportional to 146,990.82, 202,843.47 and 83,328.54 is: 114,991.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,990.82 : 202,843.47 = 83,328.54 : x
  2. Step 2: Convert to fraction form
    146,990.82/202,843.47 = 83,328.54/x
  3. Step 3: Cross multiply
    146,990.82x = 202,843.47 × 83,328.54
  4. Step 4: Simplify right side
    146,990.82x = 16,902,650,203.63
  5. Step 5: Solve for x
    x = 16,902,650,203.63/146,990.82
  6. Step 6: Final answer
    x = 114,991.20

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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.