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Finding the Fourth Proportional to 82,980.56, 124,470.86 and 20,651.06

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Solution

The fourth proportional to 82,980.56, 124,470.86 and 20,651.06 is: 30,976.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,980.56 : 124,470.86 = 20,651.06 : x
  2. Step 2: Convert to fraction form
    82,980.56/124,470.86 = 20,651.06/x
  3. Step 3: Cross multiply
    82,980.56x = 124,470.86 × 20,651.06
  4. Step 4: Simplify right side
    82,980.56x = 2,570,455,198.11
  5. Step 5: Solve for x
    x = 2,570,455,198.11/82,980.56
  6. Step 6: Final answer
    x = 30,976.59

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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.