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Finding the Fourth Proportional to 231,637.70, 347,456.55 and 81,876.80

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Solution

The fourth proportional to 231,637.70, 347,456.55 and 81,876.80 is: 122,815.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,637.70 : 347,456.55 = 81,876.80 : x
  2. Step 2: Convert to fraction form
    231,637.70/347,456.55 = 81,876.80/x
  3. Step 3: Cross multiply
    231,637.70x = 347,456.55 × 81,876.80
  4. Step 4: Simplify right side
    231,637.70x = 28,448,630,453.04
  5. Step 5: Solve for x
    x = 28,448,630,453.04/231,637.70
  6. Step 6: Final answer
    x = 122,815.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.