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Finding the Fourth Proportional to 213,143.20, 319,597.25 and 86,751

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Solution

The fourth proportional to 213,143.20, 319,597.25 and 86,751 is: 130,078.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,143.20 : 319,597.25 = 86,751 : x
  2. Step 2: Convert to fraction form
    213,143.20/319,597.25 = 86,751/x
  3. Step 3: Cross multiply
    213,143.20x = 319,597.25 × 86,751
  4. Step 4: Simplify right side
    213,143.20x = 27,725,380,601.00
  5. Step 5: Solve for x
    x = 27,725,380,601.00/213,143.20
  6. Step 6: Final answer
    x = 130,078.66

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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.