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Finding the Fourth Proportional to 140,993.25, 194,573.71 and 77,330.89

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Solution

The fourth proportional to 140,993.25, 194,573.71 and 77,330.89 is: 106,718.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,993.25 : 194,573.71 = 77,330.89 : x
  2. Step 2: Convert to fraction form
    140,993.25/194,573.71 = 77,330.89/x
  3. Step 3: Cross multiply
    140,993.25x = 194,573.71 × 77,330.89
  4. Step 4: Simplify right side
    140,993.25x = 15,046,558,164.90
  5. Step 5: Solve for x
    x = 15,046,558,164.90/140,993.25
  6. Step 6: Final answer
    x = 106,718.29

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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.