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Finding the Fourth Proportional to 211,161.64, 316,301.76 and 126,653.80

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Solution

The fourth proportional to 211,161.64, 316,301.76 and 126,653.80 is: 189,716.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,161.64 : 316,301.76 = 126,653.80 : x
  2. Step 2: Convert to fraction form
    211,161.64/316,301.76 = 126,653.80/x
  3. Step 3: Cross multiply
    211,161.64x = 316,301.76 × 126,653.80
  4. Step 4: Simplify right side
    211,161.64x = 40,060,819,850.69
  5. Step 5: Solve for x
    x = 40,060,819,850.69/211,161.64
  6. Step 6: Final answer
    x = 189,716.37

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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.