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Finding the Fourth Proportional to 82,507.50, 123,763.68 and 20,178

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Solution

The fourth proportional to 82,507.50, 123,763.68 and 20,178 is: 30,267.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,507.50 : 123,763.68 = 20,178 : x
  2. Step 2: Convert to fraction form
    82,507.50/123,763.68 = 20,178/x
  3. Step 3: Cross multiply
    82,507.50x = 123,763.68 × 20,178
  4. Step 4: Simplify right side
    82,507.50x = 2,497,303,535.04
  5. Step 5: Solve for x
    x = 2,497,303,535.04/82,507.50
  6. Step 6: Final answer
    x = 30,267.59

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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.