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Finding the Fourth Proportional to 211,266.96, 316,893.96 and 86,514

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Solution

The fourth proportional to 211,266.96, 316,893.96 and 86,514 is: 129,768.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,266.96 : 316,893.96 = 86,514 : x
  2. Step 2: Convert to fraction form
    211,266.96/316,893.96 = 86,514/x
  3. Step 3: Cross multiply
    211,266.96x = 316,893.96 × 86,514
  4. Step 4: Simplify right side
    211,266.96x = 27,415,764,055.44
  5. Step 5: Solve for x
    x = 27,415,764,055.44/211,266.96
  6. Step 6: Final answer
    x = 129,768.35

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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.