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Finding the Fourth Proportional to 225,428.50, 338,165.32 and 83,311.13

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Solution

The fourth proportional to 225,428.50, 338,165.32 and 83,311.13 is: 124,975.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,428.50 : 338,165.32 = 83,311.13 : x
  2. Step 2: Convert to fraction form
    225,428.50/338,165.32 = 83,311.13/x
  3. Step 3: Cross multiply
    225,428.50x = 338,165.32 × 83,311.13
  4. Step 4: Simplify right side
    225,428.50x = 28,172,934,298.88
  5. Step 5: Solve for x
    x = 28,172,934,298.88/225,428.50
  6. Step 6: Final answer
    x = 124,975.04

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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.