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Finding the Fourth Proportional to 213,234.96, 319,963.14 and 86,967.84

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Solution

The fourth proportional to 213,234.96, 319,963.14 and 86,967.84 is: 130,496.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,234.96 : 319,963.14 = 86,967.84 : x
  2. Step 2: Convert to fraction form
    213,234.96/319,963.14 = 86,967.84/x
  3. Step 3: Cross multiply
    213,234.96x = 319,963.14 × 86,967.84
  4. Step 4: Simplify right side
    213,234.96x = 27,826,503,165.42
  5. Step 5: Solve for x
    x = 27,826,503,165.42/213,234.96
  6. Step 6: Final answer
    x = 130,496.91

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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.