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Finding the Fourth Proportional to 55,245, 82,867.50 and 18,309

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Solution

The fourth proportional to 55,245, 82,867.50 and 18,309 is: 27,463.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,245 : 82,867.50 = 18,309 : x
  2. Step 2: Convert to fraction form
    55,245/82,867.50 = 18,309/x
  3. Step 3: Cross multiply
    55,245x = 82,867.50 × 18,309
  4. Step 4: Simplify right side
    55,245x = 1,517,221,057.50
  5. Step 5: Solve for x
    x = 1,517,221,057.50/55,245
  6. Step 6: Final answer
    x = 27,463.50

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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.