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Finding the Fourth Proportional to 138,338.80, 190,914.65 and 84,606.94

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Solution

The fourth proportional to 138,338.80, 190,914.65 and 84,606.94 is: 116,761.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,338.80 : 190,914.65 = 84,606.94 : x
  2. Step 2: Convert to fraction form
    138,338.80/190,914.65 = 84,606.94/x
  3. Step 3: Cross multiply
    138,338.80x = 190,914.65 × 84,606.94
  4. Step 4: Simplify right side
    138,338.80x = 16,152,703,437.35
  5. Step 5: Solve for x
    x = 16,152,703,437.35/138,338.80
  6. Step 6: Final answer
    x = 116,761.92

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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.