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Finding the Fourth Proportional to 231,676.73, 319,752.12 and 159,019.91

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Solution

The fourth proportional to 231,676.73, 319,752.12 and 159,019.91 is: 219,473.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,676.73 : 319,752.12 = 159,019.91 : x
  2. Step 2: Convert to fraction form
    231,676.73/319,752.12 = 159,019.91/x
  3. Step 3: Cross multiply
    231,676.73x = 319,752.12 × 159,019.91
  4. Step 4: Simplify right side
    231,676.73x = 50,846,953,344.71
  5. Step 5: Solve for x
    x = 50,846,953,344.71/231,676.73
  6. Step 6: Final answer
    x = 219,473.72

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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.