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Finding the Fourth Proportional to 137,794.36, 190,141.54 and 77,371.60

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Solution

The fourth proportional to 137,794.36, 190,141.54 and 77,371.60 is: 106,764.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,794.36 : 190,141.54 = 77,371.60 : x
  2. Step 2: Convert to fraction form
    137,794.36/190,141.54 = 77,371.60/x
  3. Step 3: Cross multiply
    137,794.36x = 190,141.54 × 77,371.60
  4. Step 4: Simplify right side
    137,794.36x = 14,711,555,176.26
  5. Step 5: Solve for x
    x = 14,711,555,176.26/137,794.36
  6. Step 6: Final answer
    x = 106,764.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.