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Finding the Fourth Proportional to 55,456.58, 83,217.82 and 20,420.84

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Solution

The fourth proportional to 55,456.58, 83,217.82 and 20,420.84 is: 30,643.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,456.58 : 83,217.82 = 20,420.84 : x
  2. Step 2: Convert to fraction form
    55,456.58/83,217.82 = 20,420.84/x
  3. Step 3: Cross multiply
    55,456.58x = 83,217.82 × 20,420.84
  4. Step 4: Simplify right side
    55,456.58x = 1,699,377,787.37
  5. Step 5: Solve for x
    x = 1,699,377,787.37/55,456.58
  6. Step 6: Final answer
    x = 30,643.39

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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.