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Finding the Fourth Proportional to 229,306.80, 343,770.56 and 87,122.64

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Solution

The fourth proportional to 229,306.80, 343,770.56 and 87,122.64 is: 130,611.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,306.80 : 343,770.56 = 87,122.64 : x
  2. Step 2: Convert to fraction form
    229,306.80/343,770.56 = 87,122.64/x
  3. Step 3: Cross multiply
    229,306.80x = 343,770.56 × 87,122.64
  4. Step 4: Simplify right side
    229,306.80x = 29,950,198,741.48
  5. Step 5: Solve for x
    x = 29,950,198,741.48/229,306.80
  6. Step 6: Final answer
    x = 130,611.91

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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.