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Finding the Fourth Proportional to 73,619, 110,428.50 and 18,215

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Solution

The fourth proportional to 73,619, 110,428.50 and 18,215 is: 27,322.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,619 : 110,428.50 = 18,215 : x
  2. Step 2: Convert to fraction form
    73,619/110,428.50 = 18,215/x
  3. Step 3: Cross multiply
    73,619x = 110,428.50 × 18,215
  4. Step 4: Simplify right side
    73,619x = 2,011,455,127.50
  5. Step 5: Solve for x
    x = 2,011,455,127.50/73,619
  6. Step 6: Final answer
    x = 27,322.50

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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.