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Finding the Fourth Proportional to 54,278.40, 81,388.80 and 19,219.20

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Solution

The fourth proportional to 54,278.40, 81,388.80 and 19,219.20 is: 28,818.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,278.40 : 81,388.80 = 19,219.20 : x
  2. Step 2: Convert to fraction form
    54,278.40/81,388.80 = 19,219.20/x
  3. Step 3: Cross multiply
    54,278.40x = 81,388.80 × 19,219.20
  4. Step 4: Simplify right side
    54,278.40x = 1,564,227,624.96
  5. Step 5: Solve for x
    x = 1,564,227,624.96/54,278.40
  6. Step 6: Final answer
    x = 28,818.60

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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.