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Finding the Fourth Proportional to 129,563.16, 193,905.78 and 79,674.84

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Solution

The fourth proportional to 129,563.16, 193,905.78 and 79,674.84 is: 119,242.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,563.16 : 193,905.78 = 79,674.84 : x
  2. Step 2: Convert to fraction form
    129,563.16/193,905.78 = 79,674.84/x
  3. Step 3: Cross multiply
    129,563.16x = 193,905.78 × 79,674.84
  4. Step 4: Simplify right side
    129,563.16x = 15,449,411,996.58
  5. Step 5: Solve for x
    x = 15,449,411,996.58/129,563.16
  6. Step 6: Final answer
    x = 119,242.32

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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.