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Finding the Fourth Proportional to 81,467.60, 122,215.92 and 42,014.08

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Solution

The fourth proportional to 81,467.60, 122,215.92 and 42,014.08 is: 63,028.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,467.60 : 122,215.92 = 42,014.08 : x
  2. Step 2: Convert to fraction form
    81,467.60/122,215.92 = 42,014.08/x
  3. Step 3: Cross multiply
    81,467.60x = 122,215.92 × 42,014.08
  4. Step 4: Simplify right side
    81,467.60x = 5,134,789,440.15
  5. Step 5: Solve for x
    x = 5,134,789,440.15/81,467.60
  6. Step 6: Final answer
    x = 63,028.61

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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.