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Finding the Fourth Proportional to 45,178.98, 67,767.98 and 18,519.02

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Solution

The fourth proportional to 45,178.98, 67,767.98 and 18,519.02 is: 27,778.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,178.98 : 67,767.98 = 18,519.02 : x
  2. Step 2: Convert to fraction form
    45,178.98/67,767.98 = 18,519.02/x
  3. Step 3: Cross multiply
    45,178.98x = 67,767.98 × 18,519.02
  4. Step 4: Simplify right side
    45,178.98x = 1,254,996,850.32
  5. Step 5: Solve for x
    x = 1,254,996,850.32/45,178.98
  6. Step 6: Final answer
    x = 27,778.34

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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.