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Finding the Fourth Proportional to 54,936.80, 82,405.20 and 52,215.20

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Solution

The fourth proportional to 54,936.80, 82,405.20 and 52,215.20 is: 78,322.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,936.80 : 82,405.20 = 52,215.20 : x
  2. Step 2: Convert to fraction form
    54,936.80/82,405.20 = 52,215.20/x
  3. Step 3: Cross multiply
    54,936.80x = 82,405.20 × 52,215.20
  4. Step 4: Simplify right side
    54,936.80x = 4,302,803,999.04
  5. Step 5: Solve for x
    x = 4,302,803,999.04/54,936.80
  6. Step 6: Final answer
    x = 78,322.80

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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.