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Finding the Fourth Proportional to 252,083.20, 378,124.80 and 158,771.20

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Solution

The fourth proportional to 252,083.20, 378,124.80 and 158,771.20 is: 238,156.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,083.20 : 378,124.80 = 158,771.20 : x
  2. Step 2: Convert to fraction form
    252,083.20/378,124.80 = 158,771.20/x
  3. Step 3: Cross multiply
    252,083.20x = 378,124.80 × 158,771.20
  4. Step 4: Simplify right side
    252,083.20x = 60,035,328,245.76
  5. Step 5: Solve for x
    x = 60,035,328,245.76/252,083.20
  6. Step 6: Final answer
    x = 238,156.80

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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.