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Finding the Fourth Proportional to 189,392.85, 283,922.87 and 77,167.44

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Solution

The fourth proportional to 189,392.85, 283,922.87 and 77,167.44 is: 115,683.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,392.85 : 283,922.87 = 77,167.44 : x
  2. Step 2: Convert to fraction form
    189,392.85/283,922.87 = 77,167.44/x
  3. Step 3: Cross multiply
    189,392.85x = 283,922.87 × 77,167.44
  4. Step 4: Simplify right side
    189,392.85x = 21,909,600,649.52
  5. Step 5: Solve for x
    x = 21,909,600,649.52/189,392.85
  6. Step 6: Final answer
    x = 115,683.36

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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.