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Finding the Fourth Proportional to 231,817.72, 319,886.94 and 131,215.72

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Solution

The fourth proportional to 231,817.72, 319,886.94 and 131,215.72 is: 181,065.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,817.72 : 319,886.94 = 131,215.72 : x
  2. Step 2: Convert to fraction form
    231,817.72/319,886.94 = 131,215.72/x
  3. Step 3: Cross multiply
    231,817.72x = 319,886.94 × 131,215.72
  4. Step 4: Simplify right side
    231,817.72x = 41,974,195,150.70
  5. Step 5: Solve for x
    x = 41,974,195,150.70/231,817.72
  6. Step 6: Final answer
    x = 181,065.52

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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.