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Finding the Fourth Proportional to 82,011.20, 122,980.80 and 37,623.20

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Solution

The fourth proportional to 82,011.20, 122,980.80 and 37,623.20 is: 56,418.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,011.20 : 122,980.80 = 37,623.20 : x
  2. Step 2: Convert to fraction form
    82,011.20/122,980.80 = 37,623.20/x
  3. Step 3: Cross multiply
    82,011.20x = 122,980.80 × 37,623.20
  4. Step 4: Simplify right side
    82,011.20x = 4,626,931,234.56
  5. Step 5: Solve for x
    x = 4,626,931,234.56/82,011.20
  6. Step 6: Final answer
    x = 56,418.28

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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.