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Finding the Fourth Proportional to 231,873.36, 347,859.84 and 71,946

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Solution

The fourth proportional to 231,873.36, 347,859.84 and 71,946 is: 107,934.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,873.36 : 347,859.84 = 71,946 : x
  2. Step 2: Convert to fraction form
    231,873.36/347,859.84 = 71,946/x
  3. Step 3: Cross multiply
    231,873.36x = 347,859.84 × 71,946
  4. Step 4: Simplify right side
    231,873.36x = 25,027,124,048.64
  5. Step 5: Solve for x
    x = 25,027,124,048.64/231,873.36
  6. Step 6: Final answer
    x = 107,934.45

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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.