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Finding the Fourth Proportional to 213,251.30, 319,600.84 and 86,744.70

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Solution

The fourth proportional to 213,251.30, 319,600.84 and 86,744.70 is: 130,004.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,251.30 : 319,600.84 = 86,744.70 : x
  2. Step 2: Convert to fraction form
    213,251.30/319,600.84 = 86,744.70/x
  3. Step 3: Cross multiply
    213,251.30x = 319,600.84 × 86,744.70
  4. Step 4: Simplify right side
    213,251.30x = 27,723,678,985.55
  5. Step 5: Solve for x
    x = 27,723,678,985.55/213,251.30
  6. Step 6: Final answer
    x = 130,004.74

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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.