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Finding the Fourth Proportional to 82,516.70, 123,775.05 and 20,187.20

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Solution

The fourth proportional to 82,516.70, 123,775.05 and 20,187.20 is: 30,280.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,516.70 : 123,775.05 = 20,187.20 : x
  2. Step 2: Convert to fraction form
    82,516.70/123,775.05 = 20,187.20/x
  3. Step 3: Cross multiply
    82,516.70x = 123,775.05 × 20,187.20
  4. Step 4: Simplify right side
    82,516.70x = 2,498,671,689.36
  5. Step 5: Solve for x
    x = 2,498,671,689.36/82,516.70
  6. Step 6: Final answer
    x = 30,280.80

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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.