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Finding the Fourth Proportional to 172,551.89, 258,815.45 and 54,257.06

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Solution

The fourth proportional to 172,551.89, 258,815.45 and 54,257.06 is: 81,381.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,551.89 : 258,815.45 = 54,257.06 : x
  2. Step 2: Convert to fraction form
    172,551.89/258,815.45 = 54,257.06/x
  3. Step 3: Cross multiply
    172,551.89x = 258,815.45 × 54,257.06
  4. Step 4: Simplify right side
    172,551.89x = 14,042,564,726.42
  5. Step 5: Solve for x
    x = 14,042,564,726.42/172,551.89
  6. Step 6: Final answer
    x = 81,381.69

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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.