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Finding the Fourth Proportional to 137,881.54, 190,297.10 and 84,197.68

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Solution

The fourth proportional to 137,881.54, 190,297.10 and 84,197.68 is: 116,205.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,881.54 : 190,297.10 = 84,197.68 : x
  2. Step 2: Convert to fraction form
    137,881.54/190,297.10 = 84,197.68/x
  3. Step 3: Cross multiply
    137,881.54x = 190,297.10 × 84,197.68
  4. Step 4: Simplify right side
    137,881.54x = 16,022,573,591.87
  5. Step 5: Solve for x
    x = 16,022,573,591.87/137,881.54
  6. Step 6: Final answer
    x = 116,205.36

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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.