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Finding the Fourth Proportional to 54,522.72, 81,784.80 and 19,461.60

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Solution

The fourth proportional to 54,522.72, 81,784.80 and 19,461.60 is: 29,192.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,522.72 : 81,784.80 = 19,461.60 : x
  2. Step 2: Convert to fraction form
    54,522.72/81,784.80 = 19,461.60/x
  3. Step 3: Cross multiply
    54,522.72x = 81,784.80 × 19,461.60
  4. Step 4: Simplify right side
    54,522.72x = 1,591,663,063.68
  5. Step 5: Solve for x
    x = 1,591,663,063.68/54,522.72
  6. Step 6: Final answer
    x = 29,192.66

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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.