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Finding the Fourth Proportional to 54,486.40, 81,729.60 and 19,427.20

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Solution

The fourth proportional to 54,486.40, 81,729.60 and 19,427.20 is: 29,140.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,486.40 : 81,729.60 = 19,427.20 : x
  2. Step 2: Convert to fraction form
    54,486.40/81,729.60 = 19,427.20/x
  3. Step 3: Cross multiply
    54,486.40x = 81,729.60 × 19,427.20
  4. Step 4: Simplify right side
    54,486.40x = 1,587,777,285.12
  5. Step 5: Solve for x
    x = 1,587,777,285.12/54,486.40
  6. Step 6: Final answer
    x = 29,140.80

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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.