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Finding the Fourth Proportional to 56,786.42, 85,179.63 and 19,841.78

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Solution

The fourth proportional to 56,786.42, 85,179.63 and 19,841.78 is: 29,762.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,786.42 : 85,179.63 = 19,841.78 : x
  2. Step 2: Convert to fraction form
    56,786.42/85,179.63 = 19,841.78/x
  3. Step 3: Cross multiply
    56,786.42x = 85,179.63 × 19,841.78
  4. Step 4: Simplify right side
    56,786.42x = 1,690,115,478.94
  5. Step 5: Solve for x
    x = 1,690,115,478.94/56,786.42
  6. Step 6: Final answer
    x = 29,762.67

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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.