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Finding the Fourth Proportional to 54,272.70, 81,346.50 and 20,978.10

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Solution

The fourth proportional to 54,272.70, 81,346.50 and 20,978.10 is: 31,442.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,272.70 : 81,346.50 = 20,978.10 : x
  2. Step 2: Convert to fraction form
    54,272.70/81,346.50 = 20,978.10/x
  3. Step 3: Cross multiply
    54,272.70x = 81,346.50 × 20,978.10
  4. Step 4: Simplify right side
    54,272.70x = 1,706,495,011.65
  5. Step 5: Solve for x
    x = 1,706,495,011.65/54,272.70
  6. Step 6: Final answer
    x = 31,442.97

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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.