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Finding the Fourth Proportional to 172,364.20, 258,570.60 and 54,023.20

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Solution

The fourth proportional to 172,364.20, 258,570.60 and 54,023.20 is: 81,042.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,364.20 : 258,570.60 = 54,023.20 : x
  2. Step 2: Convert to fraction form
    172,364.20/258,570.60 = 54,023.20/x
  3. Step 3: Cross multiply
    172,364.20x = 258,570.60 × 54,023.20
  4. Step 4: Simplify right side
    172,364.20x = 13,968,811,237.92
  5. Step 5: Solve for x
    x = 13,968,811,237.92/172,364.20
  6. Step 6: Final answer
    x = 81,042.42

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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.