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Finding the Fourth Proportional to 231,709, 319,741.30 and 129,710.96

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Solution

The fourth proportional to 231,709, 319,741.30 and 129,710.96 is: 178,991.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,709 : 319,741.30 = 129,710.96 : x
  2. Step 2: Convert to fraction form
    231,709/319,741.30 = 129,710.96/x
  3. Step 3: Cross multiply
    231,709x = 319,741.30 × 129,710.96
  4. Step 4: Simplify right side
    231,709x = 41,473,950,974.65
  5. Step 5: Solve for x
    x = 41,473,950,974.65/231,709
  6. Step 6: Final answer
    x = 178,991.54

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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.