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Finding the Fourth Proportional to 82,604.61, 123,907.32 and 20,275.11

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Solution

The fourth proportional to 82,604.61, 123,907.32 and 20,275.11 is: 30,412.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,604.61 : 123,907.32 = 20,275.11 : x
  2. Step 2: Convert to fraction form
    82,604.61/123,907.32 = 20,275.11/x
  3. Step 3: Cross multiply
    82,604.61x = 123,907.32 × 20,275.11
  4. Step 4: Simplify right side
    82,604.61x = 2,512,234,542.81
  5. Step 5: Solve for x
    x = 2,512,234,542.81/82,604.61
  6. Step 6: Final answer
    x = 30,412.76

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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.