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Finding the Fourth Proportional to 210,873.52, 316,310.49 and 86,214.52

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Solution

The fourth proportional to 210,873.52, 316,310.49 and 86,214.52 is: 129,321.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,873.52 : 316,310.49 = 86,214.52 : x
  2. Step 2: Convert to fraction form
    210,873.52/316,310.49 = 86,214.52/x
  3. Step 3: Cross multiply
    210,873.52x = 316,310.49 × 86,214.52
  4. Step 4: Simplify right side
    210,873.52x = 27,270,557,066.31
  5. Step 5: Solve for x
    x = 27,270,557,066.31/210,873.52
  6. Step 6: Final answer
    x = 129,321.87

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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.