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Finding the Fourth Proportional to 172,296.38, 258,444.59 and 53,976.95

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Solution

The fourth proportional to 172,296.38, 258,444.59 and 53,976.95 is: 80,965.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,296.38 : 258,444.59 = 53,976.95 : x
  2. Step 2: Convert to fraction form
    172,296.38/258,444.59 = 53,976.95/x
  3. Step 3: Cross multiply
    172,296.38x = 258,444.59 × 53,976.95
  4. Step 4: Simplify right side
    172,296.38x = 13,950,049,150.09
  5. Step 5: Solve for x
    x = 13,950,049,150.09/172,296.38
  6. Step 6: Final answer
    x = 80,965.42

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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.