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Finding the Fourth Proportional to 55,234.60, 82,851.90 and 30,351.40

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Solution

The fourth proportional to 55,234.60, 82,851.90 and 30,351.40 is: 45,527.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,234.60 : 82,851.90 = 30,351.40 : x
  2. Step 2: Convert to fraction form
    55,234.60/82,851.90 = 30,351.40/x
  3. Step 3: Cross multiply
    55,234.60x = 82,851.90 × 30,351.40
  4. Step 4: Simplify right side
    55,234.60x = 2,514,671,157.66
  5. Step 5: Solve for x
    x = 2,514,671,157.66/55,234.60
  6. Step 6: Final answer
    x = 45,527.10

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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.