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Finding the Fourth Proportional to 211,164.64, 316,306.26 and 126,656.80

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Solution

The fourth proportional to 211,164.64, 316,306.26 and 126,656.80 is: 189,720.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,164.64 : 316,306.26 = 126,656.80 : x
  2. Step 2: Convert to fraction form
    211,164.64/316,306.26 = 126,656.80/x
  3. Step 3: Cross multiply
    211,164.64x = 316,306.26 × 126,656.80
  4. Step 4: Simplify right side
    211,164.64x = 40,062,338,711.57
  5. Step 5: Solve for x
    x = 40,062,338,711.57/211,164.64
  6. Step 6: Final answer
    x = 189,720.87

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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.