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Finding the Fourth Proportional to 55,578.40, 83,358.84 and 18,138.28

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Solution

The fourth proportional to 55,578.40, 83,358.84 and 18,138.28 is: 27,204.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,578.40 : 83,358.84 = 18,138.28 : x
  2. Step 2: Convert to fraction form
    55,578.40/83,358.84 = 18,138.28/x
  3. Step 3: Cross multiply
    55,578.40x = 83,358.84 × 18,138.28
  4. Step 4: Simplify right side
    55,578.40x = 1,511,985,980.40
  5. Step 5: Solve for x
    x = 1,511,985,980.40/55,578.40
  6. Step 6: Final answer
    x = 27,204.56

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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.