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Finding the Fourth Proportional to 172,769.32, 258,568.80 and 106,251.64

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Solution

The fourth proportional to 172,769.32, 258,568.80 and 106,251.64 is: 159,017.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,769.32 : 258,568.80 = 106,251.64 : x
  2. Step 2: Convert to fraction form
    172,769.32/258,568.80 = 106,251.64/x
  3. Step 3: Cross multiply
    172,769.32x = 258,568.80 × 106,251.64
  4. Step 4: Simplify right side
    172,769.32x = 27,473,359,052.83
  5. Step 5: Solve for x
    x = 27,473,359,052.83/172,769.32
  6. Step 6: Final answer
    x = 159,017.58

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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.