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Finding the Fourth Proportional to 82,401, 123,528.20 and 29,798.80

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Solution

The fourth proportional to 82,401, 123,528.20 and 29,798.80 is: 44,671.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,401 : 123,528.20 = 29,798.80 : x
  2. Step 2: Convert to fraction form
    82,401/123,528.20 = 29,798.80/x
  3. Step 3: Cross multiply
    82,401x = 123,528.20 × 29,798.80
  4. Step 4: Simplify right side
    82,401x = 3,680,992,126.16
  5. Step 5: Solve for x
    x = 3,680,992,126.16/82,401
  6. Step 6: Final answer
    x = 44,671.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.