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Finding the Fourth Proportional to 211,100.72, 316,649 and 91,242.44

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Solution

The fourth proportional to 211,100.72, 316,649 and 91,242.44 is: 136,862.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,100.72 : 316,649 = 91,242.44 : x
  2. Step 2: Convert to fraction form
    211,100.72/316,649 = 91,242.44/x
  3. Step 3: Cross multiply
    211,100.72x = 316,649 × 91,242.44
  4. Step 4: Simplify right side
    211,100.72x = 28,891,827,383.56
  5. Step 5: Solve for x
    x = 28,891,827,383.56/211,100.72
  6. Step 6: Final answer
    x = 136,862.76

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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.