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Finding the Fourth Proportional to 82,130.54, 123,194.73 and 19,800.54

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Solution

The fourth proportional to 82,130.54, 123,194.73 and 19,800.54 is: 29,700.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,130.54 : 123,194.73 = 19,800.54 : x
  2. Step 2: Convert to fraction form
    82,130.54/123,194.73 = 19,800.54/x
  3. Step 3: Cross multiply
    82,130.54x = 123,194.73 × 19,800.54
  4. Step 4: Simplify right side
    82,130.54x = 2,439,322,179.15
  5. Step 5: Solve for x
    x = 2,439,322,179.15/82,130.54
  6. Step 6: Final answer
    x = 29,700.55

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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.