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Finding the Fourth Proportional to 68,337, 102,428.82 and 51,642.90

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Solution

The fourth proportional to 68,337, 102,428.82 and 51,642.90 is: 77,406.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,337 : 102,428.82 = 51,642.90 : x
  2. Step 2: Convert to fraction form
    68,337/102,428.82 = 51,642.90/x
  3. Step 3: Cross multiply
    68,337x = 102,428.82 × 51,642.90
  4. Step 4: Simplify right side
    68,337x = 5,289,721,308.38
  5. Step 5: Solve for x
    x = 5,289,721,308.38/68,337
  6. Step 6: Final answer
    x = 77,406.40

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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.