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Finding the Fourth Proportional to 211,159.64, 316,298.76 and 126,651.80

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Solution

The fourth proportional to 211,159.64, 316,298.76 and 126,651.80 is: 189,713.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,159.64 : 316,298.76 = 126,651.80 : x
  2. Step 2: Convert to fraction form
    211,159.64/316,298.76 = 126,651.80/x
  3. Step 3: Cross multiply
    211,159.64x = 316,298.76 × 126,651.80
  4. Step 4: Simplify right side
    211,159.64x = 40,059,807,291.77
  5. Step 5: Solve for x
    x = 40,059,807,291.77/211,159.64
  6. Step 6: Final answer
    x = 189,713.37

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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.