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Finding the Fourth Proportional to 54,231.20, 81,238.80 and 47,736.80

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Solution

The fourth proportional to 54,231.20, 81,238.80 and 47,736.80 is: 71,510.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,231.20 : 81,238.80 = 47,736.80 : x
  2. Step 2: Convert to fraction form
    54,231.20/81,238.80 = 47,736.80/x
  3. Step 3: Cross multiply
    54,231.20x = 81,238.80 × 47,736.80
  4. Step 4: Simplify right side
    54,231.20x = 3,878,080,347.84
  5. Step 5: Solve for x
    x = 3,878,080,347.84/54,231.20
  6. Step 6: Final answer
    x = 71,510.13

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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.