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Finding the Fourth Proportional to 68,404.85, 102,642.80 and 51,759.93

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Solution

The fourth proportional to 68,404.85, 102,642.80 and 51,759.93 is: 77,666.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,404.85 : 102,642.80 = 51,759.93 : x
  2. Step 2: Convert to fraction form
    68,404.85/102,642.80 = 51,759.93/x
  3. Step 3: Cross multiply
    68,404.85x = 102,642.80 × 51,759.93
  4. Step 4: Simplify right side
    68,404.85x = 5,312,783,884.20
  5. Step 5: Solve for x
    x = 5,312,783,884.20/68,404.85
  6. Step 6: Final answer
    x = 77,666.78

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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.