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Finding the Fourth Proportional to 231,142.80, 346,762.80 and 131,221.20

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Solution

The fourth proportional to 231,142.80, 346,762.80 and 131,221.20 is: 196,859.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,142.80 : 346,762.80 = 131,221.20 : x
  2. Step 2: Convert to fraction form
    231,142.80/346,762.80 = 131,221.20/x
  3. Step 3: Cross multiply
    231,142.80x = 346,762.80 × 131,221.20
  4. Step 4: Simplify right side
    231,142.80x = 45,502,630,731.36
  5. Step 5: Solve for x
    x = 45,502,630,731.36/231,142.80
  6. Step 6: Final answer
    x = 196,859.39

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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.