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Finding the Fourth Proportional to 54,768.30, 82,091.70 and 21,477.30

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Solution

The fourth proportional to 54,768.30, 82,091.70 and 21,477.30 is: 32,192.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,768.30 : 82,091.70 = 21,477.30 : x
  2. Step 2: Convert to fraction form
    54,768.30/82,091.70 = 21,477.30/x
  3. Step 3: Cross multiply
    54,768.30x = 82,091.70 × 21,477.30
  4. Step 4: Simplify right side
    54,768.30x = 1,763,108,068.41
  5. Step 5: Solve for x
    x = 1,763,108,068.41/54,768.30
  6. Step 6: Final answer
    x = 32,192.13

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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.