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Finding the Fourth Proportional to 137,954.70, 190,372.02 and 84,329.46

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Solution

The fourth proportional to 137,954.70, 190,372.02 and 84,329.46 is: 116,371.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,954.70 : 190,372.02 = 84,329.46 : x
  2. Step 2: Convert to fraction form
    137,954.70/190,372.02 = 84,329.46/x
  3. Step 3: Cross multiply
    137,954.70x = 190,372.02 × 84,329.46
  4. Step 4: Simplify right side
    137,954.70x = 16,053,969,645.71
  5. Step 5: Solve for x
    x = 16,053,969,645.71/137,954.70
  6. Step 6: Final answer
    x = 116,371.31

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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.