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Finding the Fourth Proportional to 54,794.30, 82,130.70 and 21,503.30

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Solution

The fourth proportional to 54,794.30, 82,130.70 and 21,503.30 is: 32,231.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,794.30 : 82,130.70 = 21,503.30 : x
  2. Step 2: Convert to fraction form
    54,794.30/82,130.70 = 21,503.30/x
  3. Step 3: Cross multiply
    54,794.30x = 82,130.70 × 21,503.30
  4. Step 4: Simplify right side
    54,794.30x = 1,766,081,081.31
  5. Step 5: Solve for x
    x = 1,766,081,081.31/54,794.30
  6. Step 6: Final answer
    x = 32,231.11

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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.