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Finding the Fourth Proportional to 231,930, 320,063.40 and 131,347.44

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Solution

The fourth proportional to 231,930, 320,063.40 and 131,347.44 is: 181,259.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,930 : 320,063.40 = 131,347.44 : x
  2. Step 2: Convert to fraction form
    231,930/320,063.40 = 131,347.44/x
  3. Step 3: Cross multiply
    231,930x = 320,063.40 × 131,347.44
  4. Step 4: Simplify right side
    231,930x = 42,039,508,227.70
  5. Step 5: Solve for x
    x = 42,039,508,227.70/231,930
  6. Step 6: Final answer
    x = 181,259.47

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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.