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Finding the Fourth Proportional to 281,952, 389,114.38 and 161,090.69

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Solution

The fourth proportional to 281,952, 389,114.38 and 161,090.69 is: 222,316.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,952 : 389,114.38 = 161,090.69 : x
  2. Step 2: Convert to fraction form
    281,952/389,114.38 = 161,090.69/x
  3. Step 3: Cross multiply
    281,952x = 389,114.38 × 161,090.69
  4. Step 4: Simplify right side
    281,952x = 62,682,703,963.12
  5. Step 5: Solve for x
    x = 62,682,703,963.12/281,952
  6. Step 6: Final answer
    x = 222,316.93

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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.