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Finding the Fourth Proportional to 128,039.27, 191,963.79 and 61,415.96

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Solution

The fourth proportional to 128,039.27, 191,963.79 and 61,415.96 is: 92,078.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,039.27 : 191,963.79 = 61,415.96 : x
  2. Step 2: Convert to fraction form
    128,039.27/191,963.79 = 61,415.96/x
  3. Step 3: Cross multiply
    128,039.27x = 191,963.79 × 61,415.96
  4. Step 4: Simplify right side
    128,039.27x = 11,789,639,488.27
  5. Step 5: Solve for x
    x = 11,789,639,488.27/128,039.27
  6. Step 6: Final answer
    x = 92,078.31

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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.