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Finding the Fourth Proportional to 137,794.70, 190,016.69 and 129,758.29

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Solution

The fourth proportional to 137,794.70, 190,016.69 and 129,758.29 is: 178,934.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,794.70 : 190,016.69 = 129,758.29 : x
  2. Step 2: Convert to fraction form
    137,794.70/190,016.69 = 129,758.29/x
  3. Step 3: Cross multiply
    137,794.70x = 190,016.69 × 129,758.29
  4. Step 4: Simplify right side
    137,794.70x = 24,656,239,642.03
  5. Step 5: Solve for x
    x = 24,656,239,642.03/137,794.70
  6. Step 6: Final answer
    x = 178,934.60

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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.