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Finding the Fourth Proportional to 211,162.64, 316,303.26 and 126,654.80

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Solution

The fourth proportional to 211,162.64, 316,303.26 and 126,654.80 is: 189,717.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,162.64 : 316,303.26 = 126,654.80 : x
  2. Step 2: Convert to fraction form
    211,162.64/316,303.26 = 126,654.80/x
  3. Step 3: Cross multiply
    211,162.64x = 316,303.26 × 126,654.80
  4. Step 4: Simplify right side
    211,162.64x = 40,061,326,134.65
  5. Step 5: Solve for x
    x = 40,061,326,134.65/211,162.64
  6. Step 6: Final answer
    x = 189,717.87

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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.