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Finding the Fourth Proportional to 54,659.93, 81,989.91 and 42,198.15

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Solution

The fourth proportional to 54,659.93, 81,989.91 and 42,198.15 is: 63,297.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,659.93 : 81,989.91 = 42,198.15 : x
  2. Step 2: Convert to fraction form
    54,659.93/81,989.91 = 42,198.15/x
  3. Step 3: Cross multiply
    54,659.93x = 81,989.91 × 42,198.15
  4. Step 4: Simplify right side
    54,659.93x = 3,459,822,520.67
  5. Step 5: Solve for x
    x = 3,459,822,520.67/54,659.93
  6. Step 6: Final answer
    x = 63,297.24

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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.