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Finding the Fourth Proportional to 172,558.60, 258,874.70 and 97,713.80

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Solution

The fourth proportional to 172,558.60, 258,874.70 and 97,713.80 is: 146,591.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,558.60 : 258,874.70 = 97,713.80 : x
  2. Step 2: Convert to fraction form
    172,558.60/258,874.70 = 97,713.80/x
  3. Step 3: Cross multiply
    172,558.60x = 258,874.70 × 97,713.80
  4. Step 4: Simplify right side
    172,558.60x = 25,295,630,660.86
  5. Step 5: Solve for x
    x = 25,295,630,660.86/172,558.60
  6. Step 6: Final answer
    x = 146,591.54

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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.