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Finding the Fourth Proportional to 137,908.68, 190,302.31 and 77,474.58

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Solution

The fourth proportional to 137,908.68, 190,302.31 and 77,474.58 is: 106,908.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,908.68 : 190,302.31 = 77,474.58 : x
  2. Step 2: Convert to fraction form
    137,908.68/190,302.31 = 77,474.58/x
  3. Step 3: Cross multiply
    137,908.68x = 190,302.31 × 77,474.58
  4. Step 4: Simplify right side
    137,908.68x = 14,743,591,540.28
  5. Step 5: Solve for x
    x = 14,743,591,540.28/137,908.68
  6. Step 6: Final answer
    x = 106,908.37

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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.