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Finding the Fourth Proportional to 82,010.20, 122,979.30 and 37,622.20

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Solution

The fourth proportional to 82,010.20, 122,979.30 and 37,622.20 is: 56,416.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,010.20 : 122,979.30 = 37,622.20 : x
  2. Step 2: Convert to fraction form
    82,010.20/122,979.30 = 37,622.20/x
  3. Step 3: Cross multiply
    82,010.20x = 122,979.30 × 37,622.20
  4. Step 4: Simplify right side
    82,010.20x = 4,626,751,820.46
  5. Step 5: Solve for x
    x = 4,626,751,820.46/82,010.20
  6. Step 6: Final answer
    x = 56,416.78

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1.5x scale

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.