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Finding the Fourth Proportional to 55,234.80, 82,852.20 and 42,112.80

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Solution

The fourth proportional to 55,234.80, 82,852.20 and 42,112.80 is: 63,169.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,234.80 : 82,852.20 = 42,112.80 : x
  2. Step 2: Convert to fraction form
    55,234.80/82,852.20 = 42,112.80/x
  3. Step 3: Cross multiply
    55,234.80x = 82,852.20 × 42,112.80
  4. Step 4: Simplify right side
    55,234.80x = 3,489,138,128.16
  5. Step 5: Solve for x
    x = 3,489,138,128.16/55,234.80
  6. Step 6: Final answer
    x = 63,169.20

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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.