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Finding the Fourth Proportional to 230,290, 317,801.16 and 129,689.68

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Solution

The fourth proportional to 230,290, 317,801.16 and 129,689.68 is: 178,972.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,290 : 317,801.16 = 129,689.68 : x
  2. Step 2: Convert to fraction form
    230,290/317,801.16 = 129,689.68/x
  3. Step 3: Cross multiply
    230,290x = 317,801.16 × 129,689.68
  4. Step 4: Simplify right side
    230,290x = 41,215,530,744.03
  5. Step 5: Solve for x
    x = 41,215,530,744.03/230,290
  6. Step 6: Final answer
    x = 178,972.30

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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.