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Finding the Fourth Proportional to 172,412.96, 258,619.23 and 54,093.42

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Solution

The fourth proportional to 172,412.96, 258,619.23 and 54,093.42 is: 81,140.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,412.96 : 258,619.23 = 54,093.42 : x
  2. Step 2: Convert to fraction form
    172,412.96/258,619.23 = 54,093.42/x
  3. Step 3: Cross multiply
    172,412.96x = 258,619.23 × 54,093.42
  4. Step 4: Simplify right side
    172,412.96x = 13,989,598,628.47
  5. Step 5: Solve for x
    x = 13,989,598,628.47/172,412.96
  6. Step 6: Final answer
    x = 81,140.07

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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.