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Finding the Fourth Proportional to 54,275.20, 81,427.20 and 19,211.20

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Solution

The fourth proportional to 54,275.20, 81,427.20 and 19,211.20 is: 28,821.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,275.20 : 81,427.20 = 19,211.20 : x
  2. Step 2: Convert to fraction form
    54,275.20/81,427.20 = 19,211.20/x
  3. Step 3: Cross multiply
    54,275.20x = 81,427.20 × 19,211.20
  4. Step 4: Simplify right side
    54,275.20x = 1,564,314,224.64
  5. Step 5: Solve for x
    x = 1,564,314,224.64/54,275.20
  6. Step 6: Final answer
    x = 28,821.90

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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.