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Finding the Fourth Proportional to 231,662.50, 319,692.09 and 131,060.50

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Solution

The fourth proportional to 231,662.50, 319,692.09 and 131,060.50 is: 180,862.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,662.50 : 319,692.09 = 131,060.50 : x
  2. Step 2: Convert to fraction form
    231,662.50/319,692.09 = 131,060.50/x
  3. Step 3: Cross multiply
    231,662.50x = 319,692.09 × 131,060.50
  4. Step 4: Simplify right side
    231,662.50x = 41,899,005,161.45
  5. Step 5: Solve for x
    x = 41,899,005,161.45/231,662.50
  6. Step 6: Final answer
    x = 180,862.27

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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.