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Finding the Fourth Proportional to 82,015.20, 122,986.80 and 37,627.20

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Solution

The fourth proportional to 82,015.20, 122,986.80 and 37,627.20 is: 56,424.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,015.20 : 122,986.80 = 37,627.20 : x
  2. Step 2: Convert to fraction form
    82,015.20/122,986.80 = 37,627.20/x
  3. Step 3: Cross multiply
    82,015.20x = 122,986.80 × 37,627.20
  4. Step 4: Simplify right side
    82,015.20x = 4,627,648,920.96
  5. Step 5: Solve for x
    x = 4,627,648,920.96/82,015.20
  6. Step 6: Final answer
    x = 56,424.28

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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.