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Finding the Fourth Proportional to 223,109.78, 334,797.64 and 80,966.16

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Solution

The fourth proportional to 223,109.78, 334,797.64 and 80,966.16 is: 121,497.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,109.78 : 334,797.64 = 80,966.16 : x
  2. Step 2: Convert to fraction form
    223,109.78/334,797.64 = 80,966.16/x
  3. Step 3: Cross multiply
    223,109.78x = 334,797.64 × 80,966.16
  4. Step 4: Simplify right side
    223,109.78x = 27,107,279,085.45
  5. Step 5: Solve for x
    x = 27,107,279,085.45/223,109.78
  6. Step 6: Final answer
    x = 121,497.50

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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.