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Finding the Fourth Proportional to 281,085.58, 387,912 and 166,429.68

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Solution

The fourth proportional to 281,085.58, 387,912 and 166,429.68 is: 229,681.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,085.58 : 387,912 = 166,429.68 : x
  2. Step 2: Convert to fraction form
    281,085.58/387,912 = 166,429.68/x
  3. Step 3: Cross multiply
    281,085.58x = 387,912 × 166,429.68
  4. Step 4: Simplify right side
    281,085.58x = 64,560,070,028.16
  5. Step 5: Solve for x
    x = 64,560,070,028.16/281,085.58
  6. Step 6: Final answer
    x = 229,681.19

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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.