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Finding the Fourth Proportional to 217,159.42, 325,780.09 and 82,263.88

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Solution

The fourth proportional to 217,159.42, 325,780.09 and 82,263.88 is: 123,411.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,159.42 : 325,780.09 = 82,263.88 : x
  2. Step 2: Convert to fraction form
    217,159.42/325,780.09 = 82,263.88/x
  3. Step 3: Cross multiply
    217,159.42x = 325,780.09 × 82,263.88
  4. Step 4: Simplify right side
    217,159.42x = 26,799,934,230.15
  5. Step 5: Solve for x
    x = 26,799,934,230.15/217,159.42
  6. Step 6: Final answer
    x = 123,411.34

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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.