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Finding the Fourth Proportional to 82,215, 123,322.50 and 26,811

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Solution

The fourth proportional to 82,215, 123,322.50 and 26,811 is: 40,216.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,215 : 123,322.50 = 26,811 : x
  2. Step 2: Convert to fraction form
    82,215/123,322.50 = 26,811/x
  3. Step 3: Cross multiply
    82,215x = 123,322.50 × 26,811
  4. Step 4: Simplify right side
    82,215x = 3,306,399,547.50
  5. Step 5: Solve for x
    x = 3,306,399,547.50/82,215
  6. Step 6: Final answer
    x = 40,216.50

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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.