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Finding the Fourth Proportional to 231,818.53, 347,727.80 and 126,580.09

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Solution

The fourth proportional to 231,818.53, 347,727.80 and 126,580.09 is: 189,870.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,818.53 : 347,727.80 = 126,580.09 : x
  2. Step 2: Convert to fraction form
    231,818.53/347,727.80 = 126,580.09/x
  3. Step 3: Cross multiply
    231,818.53x = 347,727.80 × 126,580.09
  4. Step 4: Simplify right side
    231,818.53x = 44,015,415,586.60
  5. Step 5: Solve for x
    x = 44,015,415,586.60/231,818.53
  6. Step 6: Final answer
    x = 189,870.14

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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.