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Finding the Fourth Proportional to 82,510.60, 123,765.90 and 20,181.10

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Solution

The fourth proportional to 82,510.60, 123,765.90 and 20,181.10 is: 30,271.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,510.60 : 123,765.90 = 20,181.10 : x
  2. Step 2: Convert to fraction form
    82,510.60/123,765.90 = 20,181.10/x
  3. Step 3: Cross multiply
    82,510.60x = 123,765.90 × 20,181.10
  4. Step 4: Simplify right side
    82,510.60x = 2,497,732,004.49
  5. Step 5: Solve for x
    x = 2,497,732,004.49/82,510.60
  6. Step 6: Final answer
    x = 30,271.65

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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.