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Finding the Fourth Proportional to 84,012.96, 126,029.16 and 27,858

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Solution

The fourth proportional to 84,012.96, 126,029.16 and 27,858 is: 41,790.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,012.96 : 126,029.16 = 27,858 : x
  2. Step 2: Convert to fraction form
    84,012.96/126,029.16 = 27,858/x
  3. Step 3: Cross multiply
    84,012.96x = 126,029.16 × 27,858
  4. Step 4: Simplify right side
    84,012.96x = 3,510,920,339.28
  5. Step 5: Solve for x
    x = 3,510,920,339.28/84,012.96
  6. Step 6: Final answer
    x = 41,790.22

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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.