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Finding the Fourth Proportional to 129,842.16, 194,843.88 and 83,128.56

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Solution

The fourth proportional to 129,842.16, 194,843.88 and 83,128.56 is: 124,744.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,842.16 : 194,843.88 = 83,128.56 : x
  2. Step 2: Convert to fraction form
    129,842.16/194,843.88 = 83,128.56/x
  3. Step 3: Cross multiply
    129,842.16x = 194,843.88 × 83,128.56
  4. Step 4: Simplify right side
    129,842.16x = 16,197,091,169.21
  5. Step 5: Solve for x
    x = 16,197,091,169.21/129,842.16
  6. Step 6: Final answer
    x = 124,744.47

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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.