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Finding the Fourth Proportional to 189,392.44, 283,818 and 139,077.88

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Solution

The fourth proportional to 189,392.44, 283,818 and 139,077.88 is: 208,418.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,392.44 : 283,818 = 139,077.88 : x
  2. Step 2: Convert to fraction form
    189,392.44/283,818 = 139,077.88/x
  3. Step 3: Cross multiply
    189,392.44x = 283,818 × 139,077.88
  4. Step 4: Simplify right side
    189,392.44x = 39,472,805,745.84
  5. Step 5: Solve for x
    x = 39,472,805,745.84/189,392.44
  6. Step 6: Final answer
    x = 208,418.06

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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.