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Finding the Fourth Proportional to 54,841.92, 82,138.05 and 42,921.36

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Solution

The fourth proportional to 54,841.92, 82,138.05 and 42,921.36 is: 64,284.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,841.92 : 82,138.05 = 42,921.36 : x
  2. Step 2: Convert to fraction form
    54,841.92/82,138.05 = 42,921.36/x
  3. Step 3: Cross multiply
    54,841.92x = 82,138.05 × 42,921.36
  4. Step 4: Simplify right side
    54,841.92x = 3,525,476,813.75
  5. Step 5: Solve for x
    x = 3,525,476,813.75/54,841.92
  6. Step 6: Final answer
    x = 64,284.34

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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.