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Finding the Fourth Proportional to 82,506, 123,761.43 and 20,176.50

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Solution

The fourth proportional to 82,506, 123,761.43 and 20,176.50 is: 30,265.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,506 : 123,761.43 = 20,176.50 : x
  2. Step 2: Convert to fraction form
    82,506/123,761.43 = 20,176.50/x
  3. Step 3: Cross multiply
    82,506x = 123,761.43 × 20,176.50
  4. Step 4: Simplify right side
    82,506x = 2,497,072,492.40
  5. Step 5: Solve for x
    x = 2,497,072,492.40/82,506
  6. Step 6: Final answer
    x = 30,265.34

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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.