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Finding the Fourth Proportional to 140,869.81, 194,391.52 and 77,203.09

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Solution

The fourth proportional to 140,869.81, 194,391.52 and 77,203.09 is: 106,535.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,869.81 : 194,391.52 = 77,203.09 : x
  2. Step 2: Convert to fraction form
    140,869.81/194,391.52 = 77,203.09/x
  3. Step 3: Cross multiply
    140,869.81x = 194,391.52 × 77,203.09
  4. Step 4: Simplify right side
    140,869.81x = 15,007,626,013.80
  5. Step 5: Solve for x
    x = 15,007,626,013.80/140,869.81
  6. Step 6: Final answer
    x = 106,535.43

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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.