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Finding the Fourth Proportional to 80,470.22, 110,998.38 and 51,827

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Solution

The fourth proportional to 80,470.22, 110,998.38 and 51,827 is: 71,488.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,470.22 : 110,998.38 = 51,827 : x
  2. Step 2: Convert to fraction form
    80,470.22/110,998.38 = 51,827/x
  3. Step 3: Cross multiply
    80,470.22x = 110,998.38 × 51,827
  4. Step 4: Simplify right side
    80,470.22x = 5,752,713,040.26
  5. Step 5: Solve for x
    x = 5,752,713,040.26/80,470.22
  6. Step 6: Final answer
    x = 71,488.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.