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Finding the Fourth Proportional to 172,258.46, 258,387.70 and 53,939.06

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Solution

The fourth proportional to 172,258.46, 258,387.70 and 53,939.06 is: 80,908.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,258.46 : 258,387.70 = 53,939.06 : x
  2. Step 2: Convert to fraction form
    172,258.46/258,387.70 = 53,939.06/x
  3. Step 3: Cross multiply
    172,258.46x = 258,387.70 × 53,939.06
  4. Step 4: Simplify right side
    172,258.46x = 13,937,189,653.56
  5. Step 5: Solve for x
    x = 13,937,189,653.56/172,258.46
  6. Step 6: Final answer
    x = 80,908.59

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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.