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Finding the Fourth Proportional to 54,768.30, 82,152.45 and 13,215.30

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Solution

The fourth proportional to 54,768.30, 82,152.45 and 13,215.30 is: 19,822.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,768.30 : 82,152.45 = 13,215.30 : x
  2. Step 2: Convert to fraction form
    54,768.30/82,152.45 = 13,215.30/x
  3. Step 3: Cross multiply
    54,768.30x = 82,152.45 × 13,215.30
  4. Step 4: Simplify right side
    54,768.30x = 1,085,669,272.49
  5. Step 5: Solve for x
    x = 1,085,669,272.49/54,768.30
  6. Step 6: Final answer
    x = 19,822.95

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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.