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Finding the Fourth Proportional to 45,777.68, 68,658.84 and 12,938

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Solution

The fourth proportional to 45,777.68, 68,658.84 and 12,938 is: 19,404.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,777.68 : 68,658.84 = 12,938 : x
  2. Step 2: Convert to fraction form
    45,777.68/68,658.84 = 12,938/x
  3. Step 3: Cross multiply
    45,777.68x = 68,658.84 × 12,938
  4. Step 4: Simplify right side
    45,777.68x = 888,308,071.92
  5. Step 5: Solve for x
    x = 888,308,071.92/45,777.68
  6. Step 6: Final answer
    x = 19,404.83

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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.