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Finding the Fourth Proportional to 229,077.20, 343,641.40 and 71,304.40

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Solution

The fourth proportional to 229,077.20, 343,641.40 and 71,304.40 is: 106,964.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,077.20 : 343,641.40 = 71,304.40 : x
  2. Step 2: Convert to fraction form
    229,077.20/343,641.40 = 71,304.40/x
  3. Step 3: Cross multiply
    229,077.20x = 343,641.40 × 71,304.40
  4. Step 4: Simplify right side
    229,077.20x = 24,503,143,842.16
  5. Step 5: Solve for x
    x = 24,503,143,842.16/229,077.20
  6. Step 6: Final answer
    x = 106,964.57

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