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Finding the Fourth Proportional to 82,359.90, 123,442.65 and 34,974.90

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Solution

The fourth proportional to 82,359.90, 123,442.65 and 34,974.90 is: 52,421.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,359.90 : 123,442.65 = 34,974.90 : x
  2. Step 2: Convert to fraction form
    82,359.90/123,442.65 = 34,974.90/x
  3. Step 3: Cross multiply
    82,359.90x = 123,442.65 × 34,974.90
  4. Step 4: Simplify right side
    82,359.90x = 4,317,394,339.49
  5. Step 5: Solve for x
    x = 4,317,394,339.49/82,359.90
  6. Step 6: Final answer
    x = 52,421.07

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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.