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Finding the Fourth Proportional to 73,780.25, 110,670.78 and 18,376.25

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Solution

The fourth proportional to 73,780.25, 110,670.78 and 18,376.25 is: 27,564.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,780.25 : 110,670.78 = 18,376.25 : x
  2. Step 2: Convert to fraction form
    73,780.25/110,670.78 = 18,376.25/x
  3. Step 3: Cross multiply
    73,780.25x = 110,670.78 × 18,376.25
  4. Step 4: Simplify right side
    73,780.25x = 2,033,713,920.98
  5. Step 5: Solve for x
    x = 2,033,713,920.98/73,780.25
  6. Step 6: Final answer
    x = 27,564.48

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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.