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Finding the Fourth Proportional to 281,967.77, 389,114.74 and 161,146.55

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Solution

The fourth proportional to 281,967.77, 389,114.74 and 161,146.55 is: 222,381.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,967.77 : 389,114.74 = 161,146.55 : x
  2. Step 2: Convert to fraction form
    281,967.77/389,114.74 = 161,146.55/x
  3. Step 3: Cross multiply
    281,967.77x = 389,114.74 × 161,146.55
  4. Step 4: Simplify right side
    281,967.77x = 62,704,497,905.15
  5. Step 5: Solve for x
    x = 62,704,497,905.15/281,967.77
  6. Step 6: Final answer
    x = 222,381.79

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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.