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Finding the Fourth Proportional to 81,874.68, 112,977.90 and 46,077

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Solution

The fourth proportional to 81,874.68, 112,977.90 and 46,077 is: 63,581.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,874.68 : 112,977.90 = 46,077 : x
  2. Step 2: Convert to fraction form
    81,874.68/112,977.90 = 46,077/x
  3. Step 3: Cross multiply
    81,874.68x = 112,977.90 × 46,077
  4. Step 4: Simplify right side
    81,874.68x = 5,205,682,698.30
  5. Step 5: Solve for x
    x = 5,205,682,698.30/81,874.68
  6. Step 6: Final answer
    x = 63,581.11

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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.