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Finding the Fourth Proportional to 171,408.96, 257,009.76 and 115,836.48

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Solution

The fourth proportional to 171,408.96, 257,009.76 and 115,836.48 is: 173,684.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,408.96 : 257,009.76 = 115,836.48 : x
  2. Step 2: Convert to fraction form
    171,408.96/257,009.76 = 115,836.48/x
  3. Step 3: Cross multiply
    171,408.96x = 257,009.76 × 115,836.48
  4. Step 4: Simplify right side
    171,408.96x = 29,771,105,924.04
  5. Step 5: Solve for x
    x = 29,771,105,924.04/171,408.96
  6. Step 6: Final answer
    x = 173,684.65

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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.