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Finding the Fourth Proportional to 51,859.62, 77,794.25 and 40,185.90

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Solution

The fourth proportional to 51,859.62, 77,794.25 and 40,185.90 is: 60,282.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,859.62 : 77,794.25 = 40,185.90 : x
  2. Step 2: Convert to fraction form
    51,859.62/77,794.25 = 40,185.90/x
  3. Step 3: Cross multiply
    51,859.62x = 77,794.25 × 40,185.90
  4. Step 4: Simplify right side
    51,859.62x = 3,126,231,750.15
  5. Step 5: Solve for x
    x = 3,126,231,750.15/51,859.62
  6. Step 6: Final answer
    x = 60,282.58

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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.