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Finding the Fourth Proportional to 229,287.10, 343,930.65 and 71,515.30

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Solution

The fourth proportional to 229,287.10, 343,930.65 and 71,515.30 is: 107,272.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,287.10 : 343,930.65 = 71,515.30 : x
  2. Step 2: Convert to fraction form
    229,287.10/343,930.65 = 71,515.30/x
  3. Step 3: Cross multiply
    229,287.10x = 343,930.65 × 71,515.30
  4. Step 4: Simplify right side
    229,287.10x = 24,596,303,613.95
  5. Step 5: Solve for x
    x = 24,596,303,613.95/229,287.10
  6. Step 6: Final answer
    x = 107,272.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.