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Finding the Fourth Proportional to 172,933.80, 259,408.80 and 54,614.40

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Solution

The fourth proportional to 172,933.80, 259,408.80 and 54,614.40 is: 81,924.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,933.80 : 259,408.80 = 54,614.40 : x
  2. Step 2: Convert to fraction form
    172,933.80/259,408.80 = 54,614.40/x
  3. Step 3: Cross multiply
    172,933.80x = 259,408.80 × 54,614.40
  4. Step 4: Simplify right side
    172,933.80x = 14,167,455,966.72
  5. Step 5: Solve for x
    x = 14,167,455,966.72/172,933.80
  6. Step 6: Final answer
    x = 81,924.16

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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.