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Finding the Fourth Proportional to 282,092.72, 389,287.95 and 161,236.60

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Solution

The fourth proportional to 282,092.72, 389,287.95 and 161,236.60 is: 222,506.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,092.72 : 389,287.95 = 161,236.60 : x
  2. Step 2: Convert to fraction form
    282,092.72/389,287.95 = 161,236.60/x
  3. Step 3: Cross multiply
    282,092.72x = 389,287.95 × 161,236.60
  4. Step 4: Simplify right side
    282,092.72x = 62,767,467,191.36
  5. Step 5: Solve for x
    x = 62,767,467,191.36/282,092.72
  6. Step 6: Final answer
    x = 222,506.51

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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.