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Finding the Fourth Proportional to 129,568.56, 178,743.49 and 75,820.30

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Solution

The fourth proportional to 129,568.56, 178,743.49 and 75,820.30 is: 104,596.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,568.56 : 178,743.49 = 75,820.30 : x
  2. Step 2: Convert to fraction form
    129,568.56/178,743.49 = 75,820.30/x
  3. Step 3: Cross multiply
    129,568.56x = 178,743.49 × 75,820.30
  4. Step 4: Simplify right side
    129,568.56x = 13,552,384,141.13
  5. Step 5: Solve for x
    x = 13,552,384,141.13/129,568.56
  6. Step 6: Final answer
    x = 104,596.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.