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Finding the Fourth Proportional to 211,233.25, 316,849.88 and 70,991.88

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Solution

The fourth proportional to 211,233.25, 316,849.88 and 70,991.88 is: 106,487.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,233.25 : 316,849.88 = 70,991.88 : x
  2. Step 2: Convert to fraction form
    211,233.25/316,849.88 = 70,991.88/x
  3. Step 3: Cross multiply
    211,233.25x = 316,849.88 × 70,991.88
  4. Step 4: Simplify right side
    211,233.25x = 22,493,768,658.97
  5. Step 5: Solve for x
    x = 22,493,768,658.97/211,233.25
  6. Step 6: Final answer
    x = 106,487.82

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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.