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Finding the Fourth Proportional to 172,285, 258,427.51 and 53,965.56

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Solution

The fourth proportional to 172,285, 258,427.51 and 53,965.56 is: 80,948.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,285 : 258,427.51 = 53,965.56 : x
  2. Step 2: Convert to fraction form
    172,285/258,427.51 = 53,965.56/x
  3. Step 3: Cross multiply
    172,285x = 258,427.51 × 53,965.56
  4. Step 4: Simplify right side
    172,285x = 13,946,185,296.56
  5. Step 5: Solve for x
    x = 13,946,185,296.56/172,285
  6. Step 6: Final answer
    x = 80,948.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.