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Finding the Fourth Proportional to 81,419.88, 122,046.12 and 46,285.32

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Solution

The fourth proportional to 81,419.88, 122,046.12 and 46,285.32 is: 69,380.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,419.88 : 122,046.12 = 46,285.32 : x
  2. Step 2: Convert to fraction form
    81,419.88/122,046.12 = 46,285.32/x
  3. Step 3: Cross multiply
    81,419.88x = 122,046.12 × 46,285.32
  4. Step 4: Simplify right side
    81,419.88x = 5,648,943,718.96
  5. Step 5: Solve for x
    x = 5,648,943,718.96/81,419.88
  6. Step 6: Final answer
    x = 69,380.40

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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.